There was a chocolate bar which weighed 0.65kg. If Daniel and Jacob split it 1:3 and Jacob and Antonia split it 1:2, how much chocolate did Antonia get.
A- 150g
B- 565g
C- 433g
D- 400g
E- 390g
Anyone have a clue as to how E is the answer? Been trying to figure this out for the last hour.
Added pic:
But how did you know that Antonia was getting a part of the whole (650g) and not half of Jacob's portion?
The question never stated Jacob was sharing his portion so I didn't make that unfounded assumption. I just translated the wording into ratios which requires making fewer assumptions.
I disagree. You have to make an assumption one way or the other.
Both what you read it as and how others have read it are assumptions given the lack of information.
It says Daniel and Jacob split it (that's one act) AND Jacob and Antonia split it (second act). It is not unreasonable given the ambiguity to assume the first act was a ratio of splitting the whole bar 1:3 between Daniel and Jacob and then Jacob walks away with his portion and splits that 1:2 with Antonia. It is written sequentially like that could be the case.
Technically the answer of 390g could be argued as being wrong because given there are two acts, Jacob and Antonia could not have split a piece 1:2 as a second independent act unless the answer is 325g.
It would have had to be one act of splitting the bar to use the English language in this manner.
It doesn't say in the wording, so what you have done and the interpretation of others are both an assumption.
You just happened to luck on the same one as the person writing it.
If you have a math oriented brain, you would probably get this right as you just straight to working out the ratios without focussing on the words. If you are more an English as your favourite subject inclined, you'd interpret the wording and visualise the individual acts which is exactly what I did whilst reading it - "okay easy 650/4x3 = 487.5 is what Jacob has then he splits it 487.5/3x2 = 325g to Antonia"
It should have been better worded to just make it about the math.
E.g.
There was a chocolate bar which weighed 0.65kg that was split between 3 people. Daniel and Jacob's split had a ratio of 1:3 and Jacob and Antonia's split had a ratio of 1:2, how much chocolate did Antonia get?
@MrFrugalSpend: The question needs to replace "split it" with "split is". "Split it" requires action, action from whatever the situation was at the time. "split is" indicates reporting of a previous split action.
If this were a real exam question (rather than trial), you would expect this to have been fixed on review.
That said, if this is a standard question type, kids just pick out the key details not even noticing the grammatical/logic errors. They can then answer "correctly" an erroneous question.
@MrFrugalSpend: It's a multiple choice question that intentionally doesn't have 325g as one of the options, so by definition it is wrong
@[Deactivated]: You would have to re-assess the question to look for what the examiner thinks is the correct answer after finding 325g is not there, yes. However clearly the problem should be able to be worked out without any reference to multiple choice answers.
You seem to assume the person writing the question can't be wrong. Of course they can - they are human, as evidenced by their lack of grasp of the English language.
Do students learn algerbra in primary school?
Maths teachers struggling with literacy,
Oh dear.
maybe they like to revel in their own ability to torment little kids.
Or maybe our education system is cooked
Probably a bit of both.
Love the way you took 1 exercise to derive either that the teachers are evil or the entire education system is cooked. Do you have anything published on Amazon or something?
Doubt this is the only example people come across
Ahhh, this is the question.
There was a chocolate bar which weighed 0.65kg. Daniel, Jacob and Antonia split it between them. Daniel's portion is 1/3 of Jacob's and Jacob's portion is half of Antonia's. How much did Antonia get?
yep this is a much better worded question
see other answers
This is a stupidly worded question.
This is like my manager giving me instructions. It's so detailed but leaves out the most important information.
You must be my colleague.
Hi employee
Damm new school math…
Hahah nice, ozbargain has come to the rescue!!! I kept getting 325g like others but now it makes sense. Thank you all :)
It's actually a 1:3:6 as you need to double Antonia's portion. So Antonia has 60% of 650g which is 390g
Oh I finally get the STUPIDLY worded question.
It's asking firstly what Jacob and Daniel share AND THEN what Jacob shares with Antonia.
Here I was working out the lowest common denominator.
I really hate seeing questions like this and other clickbait news articles because most students seeing these questions would be trained exactly for it and know what to expect.
Interesting to see how people are coming to different conclusions. While this is kind of "click-baity", I'm happy it gets lay-people discussing maths!
This is one of the classic case where a question is poorly written. There are two equally valid interpretations:
1) Daniel and Jacob split the original bar 1:3, then split Jacob's part with Antionia 1:2. So it would be 6503/42/3 = 325g (not an option)
2) Daniel, Jacob, Antionia split the bar in one go, with ratio 1:3:6, this yields 650*6/10 = 390g (that's E)
Nowhere in the question makes it clear how the split occurs, so we cannot definitively give an answer. Imagine if we had a school where the teachers get graded, they'd be getting the F.
Imagine if we had a school where the teachers get graded, they'd be getting the F.
Don't want to rag on teachers because they do a fairly tough and important job, but I honestly tell my kid once a week or more "yeah that question/answer is wrong, they meant XX"
What answer did Slavoz get when he calculated the question?
He wants teachers (and other public workers) to be graded
There are 3 types of people, those who are good at maths and those who are bad at maths.
Also I feel like some chocolate now, are there any good deals on chocolate?
There are I0 types of people. One who will get this and one who won’t.
Asked a 14 years old exactly how it is written and he got answer “E” in first go. May be we are stupid or overthinking at least 😅
My 14 yr old son was the same he got it in 10 seconds. He didn't see any issues in the wording of the question either. "It's just ratios"
I think its actually a bit concerning - shows they are glossing over the details.
However that's obviously how they are trained to interpret half baked multiple choice tests rather than real word communication skills and problems where there must be no room for misinterpretation.
The only correct answer is 325g because the wording clearly says there are two acts of splitting the bar:
Daniel and Jacob split it 1:3 and
Jacob and Antonia split it 1:2,
Jacob and Antonia can't have conducted a split on a 1:2 ratio as a second independent act and got 390g for Antonia unless they had a 585g bar to split in the second split…
that would mean Daniel would have got 195g in the previous split act for a total of 780g…
…which is a large block of chocolate, not a bar.
… and Daniel got ripped off! Perhaps useful as a lesson the real world is unfair, without true equity with a split like that!
So many possible discussion points in a real world situation, rather then training kids to (mis)interpret crap multiple choice questions.
I'm pretty certain that they are "conditioned" into what the teachers are asking. Us being well past high school expect things to be worded better to clearly define what is being asked.
That’s a big chocolate bar
Hopefully they got a bargain
None of the above. The question is either worded wrongly or the answer is wrong.
Bar = 650g.
Daniel:Jacob
162.5:487.5
Jacob = 487.5
Jacob:Antonia
1:2
162.5:325
Antonia = 325
What you're doing is in order. Nothing in the question says who splits the chocolate first. It could be the other way around. They could've split it in half before splitting it into thirds.
Either way it's interpreted badly. But I agree that the answer is 650/(1/6+1/2+1).
can I use my life line? I reckon Eddie knows
Daniel : Jacob = x : 3x
Jacob:Antonia = y : 2y = 3x : 6x
Solve for x -
x + 3x + 6x = 650g
10x = 650g
x = 65g
Antonia got 6x = 6 * 65g = 390g
Yes this is what I did too, drawing from what I could remember from high school maths.
d = daniel's share
j = jacob's share
a = antonia's share
a + j + d = 650
j = 3d
a = 2j
Then solving for d (because that's just the path I took):
2j + j + d = 650 (substituted a)
3j + d = 650 (simplify)
9d + d = 650 (substituted j)
10d = 650 (simplify)
d = 65
Daniel's share is 65g
Jacob's share is 65 * 3 = 195g
Antonia's share is 195 * 2 = 390g
Answer is E
I also think it's poorly worded. What they meant was:
There was a chocolate bar which weighed 0.65kg. Jacob, Daniel and Antonia decide to share it.
If Jacob's share was 3 times the amount of Daniel's share, and Antonia's share was twice the amount of Jacob's share, how much chocolate did Antonia get?
It was poorly worded intentionally to negate the effect from Tutoring Colleges.
RandomDealHunter has given the correct answer in the most simple algebraic way possible. But syntax needs a bit of work
True. Can improve. The best I could do on iOS notes app in hurry in the morning!
I'm out :/
Its poorly worded as the split would result in ratio of 1:1:2 not 1:3:6.
Also Antonia is the bully in the group.
Why? Antonia could have paid for the bar, and therefore entitled to the full amount.
There are two options:
Share it equally or I'll confiscate the Chocolate.
The fat girl said no!
Bro…. Imagine trying to cut 216.666666666…….g
Down to the nearest atom.
question is worded bad imho.
How can the bar be split again if its already split.
Should read
"There was a chocolate bar which weighed 0.65kg. If Daniel and Jacob split it 1:3 and Jacob and Antonia split Jacobs part, 1:2, how much chocolate did Antonia get.
Anyway assuming what i wrote and the order of names matches order of ratio.
ratio of 1:3 = 1/4 to Daniel and 3/4 to Jacob, thus Jacob gets .65 * .75 = .4875. Ratio of 1:2 = 1/3 Jacob and 2/3 Antonia, then she gets 2/3 of .4875 = .325 kg
but seeing answers above looks like i failed this too
yeah basically the question is worded wrong, where everyone is getting confused is splitting it between Daniel & Jacob, then Jacobs share between Jacob and Antonia, but really it was divided into 3 pieces all at the same time at the beginning and the ratios shown are the ratios between everyone so basically Daniel got 1 part, Jacob got 3 parts and Antonia got 6 parts, 10 parts all together, divide 650g by 10 which is 65g then times that by the 6 parts Antonia got which equals 390, but like i said, the way the question is written is wrong, the way it is written, the answer is for sure 325g, maybe they need English Teachers to write the Maths Questions
325g
That's the reason I didn't make it to selective school. I tried to answer this question first for 45 minutes and got it wrong.
No shame in that. I spent an hour then resorted to the brain trust on ozbargain.
See you in school in the bottom maths class, buddy!
Mum needs to teach Antonia how to share
0.325
The wording of this question has triggered me
First, the question needs clarity not trickery. My year 12 maths teacher is one I still remember today. He reinforced that he never asked trick questions or worded questions to intentionally cause confusion. He would ask tricky questions but never trick questions
Second, perhaps the teacher should be asked to show their working :)
The answer to the question isn't 390g.
Daniel has already eatten 162.5g of chocolate and forgot you exist. You don't get to pump his stomach and divvy it up again.
If this is a question the school is using to demonstrate itself, I'd steer clear.
looking at these answers, how the hell a ratio of 1:3 split to 4 parts?
Because its 1 part to 3 parts, that's how ratios work
It isn't a portion, such as 1/3, or 1 of 3
the answer is none of those options - the correct answer is 325g
Is this the ACTUAL question, or a memory of what the question “sort of” said. As it is, the question is ambiguous and there could be two answers, both of which would be correct 325g or 390g. For a year 6 student, though, to get the answer of 390g is beyond the scope of the syllabus so it would have probably driven good students crazy and led them to select E as the “nearest correct answer”.
Actual question, typed it with the question in front of me.
My son who's in Yr 9 Gifted And Talented Extension program in WA which I suspect is the same as the Selective Schools got this straight away. Took him about 10 seconds. "It's just a ratio, Antonia has 6 portions out of 10 so 6 x 65 = 390".
Not sure about WA but in my school. There were 3 streams of class. Selective, G&T and Normal.
The selective stream had to do the selective test to get in obvs. G&T was just based on school report cards i guess. Normal classes probably had a ranking system too but probably in a more subtle way in order to not allow all the retards to gang up. Differences in content across the streams existed mainly in maths where we (selective stream) only did the hard parts of the test. g&t did easier test and if they got high in that test they had option to do the selective test.
GATE in WA is admission via selective testing and is only in 24 schools state wide, so it's like a scholarship in that you can go to an out of area school. The "premier" school in Perth Modern is all GATE. You have to apply to each school and some schools have higher entrance marks for the GATE testing. My sons school has the second highest entrance requirements outside of Perth Mod but he could have gone to Perth Mod if he wanted but we live in the area where his GATE school is anyway so sent him there with his friends. My daughters are in extension programs which are based on in school performance per subject. Where's as my son is GATE for all core subjects.
If there is no double splitting, that means Jacob and Antonia split the 650 g then she would have 433 g plus 0.33 g of choccy crumbs. My brain hurts.
Seems the answer is intended to be E. However if that is exactly how the question was written (and not some interpretation by the poster) then the math question writer needs to be sent to english lessons.
It's not a surprise that we have issue in literacy and numeracy, right? :D :D :D
That's a terribly written question, it should be written:
There was a chocolate bar which weighed 0.65kg. If Daniel, Jacob, & Anotnia split it 1:3:6, how much chocolate did Antonia get?
Then you get the answer E=390g
Nobody does ratios like the way the question is written. You'd be causing deaths in pharma or getting sued in manufacturing for writing in such a moronic way.
Antonia got two thirds of three quarters, which should be a half, but the answer isn't there.
E has to be a typo, they've multiplied it by 0.6 instead of 0.5.
As an aside; as a child I discovered an argument free way to divide things between children.
One divides, the other chooses.
The 'divider' is always incentivised to make it exactly 50/50 otherwise they will be the one to miss out when the 'chooser' picks the larger side.
My parents always did that with my brother and me. Works well. Use it with my kids. My son when serving up ice cream for himself and his sisters, gets out the kitchen scales to make sure all the portions are as close as possible down to the last gram. It's hilarious.
In the question, if you replace "it" with "is" then it would make more sense that the answer is 390g
From the answer its evident you are all misinterpreting the question. I had to reverse engineer the right meaning of the question from the answer.
There is not a "then" in the question, there's just an "and".
Let me phrase the question another way. If Jacob gets three times as much as Daniel AND Antonia gets twice as much as Jacob, how much does Antonia get. That is, the 650g is split in a ratio 1:3:6. The correct answer if you read the question that way is she gets 6/10ths of 650g, which is 390g.
Thank you, now that makes much more sense!
Replace "and" with "while" to make it even clearer.
The word "and" does mean that one thing happens following another though. That is the natural and proper interpretation.
Op has made a mistake in the question. He’s giving us his take on it not the real question but what he thinks it is. Solved.
The Monty hall …
Imagine it’s with 1 million doors. Wow u we’re lucky to pick the right one when ur down to the last door.
Now run it 1000 times how can u keep picking the right one always ?!?
U can’t so swap
I'm an accountant and I got 108.33g
650/3 = 216 then divide by 2 = 108.33
cooking the books there much?!
I need an accountant. What’s your hourly rate?
I’ll give you 325gm/day
The two events are happening at the same time.
This is a simple math question. When is Australia going to man up and treat Science the way it should be. No wonder we still have people who think you can see a virus with an electron microscope. No, you don't see a virus, you see the shadow of the virus after you have killed everything around it.
Furthermore, you can't randomly point to things in electron microscopy and state that is the virus. However, that's actually what they do in reality. lol.
See the similarities with Homeopathy? Correlation is not Causation.
Touched a nerve?
650/4 =162.5
Since this is 1:3, we have
Daniel 162.5, and initially Jacob is 3162.5= 487.5
Now, Jacob and Antonia split in 1:2, so Antonia's share =162.52= 325
It's E 390g. No question about it as long as the OP has transcribed the question correctly. There's no word "then" in the question, so don't add that word when you're trying to solve it. The "and" implies both parts of the statement occur simultaneously and commutatively. As others have pointed out above, it's a pure ratio question with a split of 1:3:6 between D:J:A. The answer of 390g is simply (6/(1+3+6))*650g.
bingo its a single transaction
As a conjunction "and" can mean one thing follows another. Interpreting it as "then" is accurate.
https://dictionary.cambridge.org/dictionary/english/and
"used to join two parts of a sentence, one part happening after the other part:"
• I got dressed and had my breakfast.
https://www.collinsdictionary.com/dictionary/english/and
"You use and to link two statements about events when one of the events follows the other."
• I waved goodbye and went down the stone harbour steps.
• I pulled the door closed and did up my boots on the landing.
https://www.macmillandictionary.com/dictionary/british/and
"used for showing that one thing happens after another"
• He switched off the television and went to bed.
Is this the exact wording of the question, or how you've remembered it?
If both splits are occurring concurrently, doesn't that mean Antonia gets two-thirds of 650 grams, which is 433 grams?
Antonia gets six-tenths, not two-thirds
But the question says "If Daniel and Jacob split it 1:3 and Jacob and Antonia split it 1:2"; doesn't it refer to the original chocolate bar both times, rather than once to the original bar and once to the portion that Jacob ends up with?
Yes, I agree!
Dumb ambiguous question with poor wording.
I think this teacher needs serious reeducation
The 65gm of chocolate that Antonia sucked out of Jacobs mouth when French kissing him.
Let's just agree that 650g of choc should've been split between a whole classroom of kids, not just these 3 greedy guts
'There was a chocolate bar which weighed 0.65kg. If Daniel and Jacob split it 1:3 and Jacob and Antonia split it 1:2, how much chocolate did Antonia get'
I figured D:J 1:3 and J:A 1:2 - with J in common, A gets twice as much as J, who gets 3x as much as D
So if D is 1 part, J is 3 parts, and A is 6 parts = total 10 parts of 650gm = 65gm per part
Of which A gets 6 parts x 65 gm = 390gm
D + 3D + 2(3D) = 650
D = 65
2(3D) = 390g
E
the wording of the question is so dumb. It could have been easily written as D's chocolate is 1/3 of J's and Jacob's is 1/2 of A's
Yeah they did it intentionally to trick people like me, I mean everyone…
But how did you know that Antonia was getting a part of the whole (650g) and not half of Jacob's portion?
I too read it as Jacob splitting his portion 1:2 with Antonia.
Your algebra makes sense, but did you understand the question initially to come up with the solution, or was it that others were getting it wrong that you found the right one?