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:
I am offended at the premise of the question, which is clearly that women are simply cake loving creatures who deserve to eat last.
Poor Daniel. Antonia is greedy.
The ratios are
1:3
And 1:2
Last chick has double middle dude who has triple first matey.
Assign 1 part to first matey,
3 parts to middle
6 parts to last
10 parts
1 part is .65/10
6 parts is (.65/10)*6 = .390
Should have read as:
"There is a 0.65kg bar of chocolate, it is split unevenly between 3 people, Daniel, Jacob and Antonia. Jacob's piece is three times bigger than Daniels, and Antonia got twice as much as Jacob.
How many grams of chocolate did Antonia get?"
I got 325g as mentioned by others.
This assumes a step-wise division as is implied by the question.
First 0.65 is divided into 4 parts, leaving 3 parts = 0.4875 for Jacob.
Jacob subsequently shares with Antonia, dividing it in 3 parts and leaving 2 parts = 0.325 for her.
However the problem with the question is different interpretations of the language can lead to a different result.
If you interpret it as the chocolate is simultaneously divided in those ratios between the three, you end up with 10 parts, 1 to David, 3 to Jacob, 6 to Antonia (to maintain the ratios), which means Antonia got 0.39 = 390 grams.
Therefore answer is E but very badly worded question.
Here is an excel breakdown:
https://imgur.com/a/qrZbbjS
Terribly worded question if they were trying say it was simultaneously divided. Hope this wasn't an exam question cause they would have lost so much double checking time on figuring out why they didn't get a valid answer.
It was a practice test. I spent over 1 hour on this question without getting the right answer.
Show a picture of the question
Daniel and Jacob develop childhood obesity and don't finish their 2 unit mathematics in their HSC.
Pickup a spanner and earn 200k cash as a tradie.
Those who want to pursue a career in technology take note: this is as much an exercise product management as it is in maths, and this is a great exercise in transcribing the garbled requests of a user/client (in this case, an ambiguous and poorly worded question) into something coherent, and being able to give them the answer they want, even if it is not exactly what they asked for.
This pattern seems to repeat itself continuously in work and larger society so best get familiar with it if you want to reduce wasted time, effort and anguish.
Have you also implemented SAP before?
Haha no but I do a lot of SAP-like things (I think - never used it). Enough of it that society just seems like one big SAP nowadays.
E - It's split 1:3:6 = So 0.65/10 x 6 is what Antonia gets
The true answer is 0. The question states they split the chocolate, not that they took the chocolate after spliting it. Therefore nobody got any chocolate as nobody was said to have taken their split.
Ok, I am the worst at maths and I see how people got 325g as the ratio is parts to each person.
But I read the ratio, 1:3, is that the 650g of chocolate was split into one thirds, making 3 x 217g serves. Can this technically be right as well?
Edit: Nevermind, I'm dumb. There's a difference between 1:3 and 1/3.
Antonia got Diabetes……lol
F - 325g for me as well
I tried doing it in reverse, seems to original bar might be 780g if we work back from the answer?
z = 390g (Antonia's 2/3s of the Antonia/Jacob piece)
y = Antonia/Jacob's piece
y = (390 / 2)*3 = 585g
x = Daniel and Jacob's piece
x = (585 / 3)*4 = 780g
Make it a common ratio:
D:J= 1:3
J:A= 1:2 or 3:6
So D:J:A= 1:3:6
A share= 6/(1+3+6) * 0.65= 0.39
This is like basic basic math….
But not everyone interprets it in a way that the split occurs among three of them at the same time. Some suggest that the split occurs between D and J followed by between J and A.
The word used was "and" and not "then", so you should interpret it as it happens simultaneously.
Yeah but the word “split” was used twice hence people interpreted it differently that the second time the “split” was solely between J and A nothing to do with D.
Edit: The word “split” was used as verbs not as nouns.
There's the classic programmer joke:
A programmer is going to the grocery store and his wife tells him, "Buy a gallon of milk, and if there are eggs, buy a dozen." So the programmer goes, buys everything, and drives back to his house. Upon arrival, his wife angrily asks him, "Why did you get 13 gallons of milk?" The programmer says, "There were eggs!"
The point is, if someone is asking you to solve a maths problem, you're assume the question is being very precise. You're meant to interpret it literally.
Whoever wrote that question would be a terrible lawyer.
And they'd be a terrible computer programmer. Or analyst specifying what they want the computer programmer to tell the computer to do.
I loved this kind of question in a test or examination back in my days. 1 free point for everyone.
Username checks out.
Those. ridiculing maths teachers are totally at fault and should hang their heads in shame.
You are falsely assuming that the question was written by a maths teacher.
Perhaps they were on strike for more pay or all had Covid,
The real person to blame is the Headperson who has the ultimate responsibility.
The answer is that is an awfully worded question & whoever wrote it needs to have their head (and the work) checked by a professional.
Hope Daniel got a proper meal when he got home
I hate these questions.
My year 4 gets 5 of them a week and I want to shoot myself rather than help her.
The problem is the word 'it'.
Cannot really say that two people split 'it' in some ratio, if its shared between three.
The question is poorly worded.
I would accept both answers as correct. However, since it was multiple choice, and the other answer is not an option, it's hard to tell who got the other answer but did not select it because it was not available.
Regardless of the answer, these kids need to learn how to share properly.
OP must be not Asian… anyone and their mum in Eastwood or Ashfield can do this..
I am, the problem is the interpretation of the question not that I could not solve it if worded correctly.
I bet you those in Eastwood would have exactly that same issue also haha.
The state subcontracting the writing of exam papers to India I see…
So basically teachers aren't underpaid?
Yes, can confirm as a high school maths teacher that the real ratio for Daniel : Jacob : Antonia is 1:3:6.
This results in 10 total parts at 65g each, and Antonia get’s 390g, so option E.
Doesn't this just mean that you're familiar with somewhat ambiguously worded questions?
Yep, I frequently come across them in textbooks and online resources. The people who write those kinds of questions are good at maths… not English though apparently.
The wording is quite awkward. In my old school days, this would have been worded as: If Jacob had three times as much as Daniel, and Antonia had twice as much as Jacob, how much did Antonia get.
They really need to make entry to teaching much harder. The only correct answer is 325g
0.65=D+J+A, D/J=1/3, J/A=1/2
0.65=A/6+A/2+A
0.65=10A/6
A=0.39kg=390g
So E.
Easy
D:J:A = 1:3:6
1 unit = 650gr / 10 = 65gr
Antonia = 6 x 65gr = 390gr
But the wording of the question or how it's proposed.
Jacob receives 3 parts of the bar, then his portion of the bar is split into another 3 parts, 1 part for Jacob and 2 parts for Antonia.
It could have been worded like this:
Daniel and Jacob split the bar 1:3 respectively, then Jacob split his portion of the bar to Antonia 1:2 respectively, how much chocolate did Antonia get?
You know its a year 6 question right?
So…. Keep it simple
The way i see it:
The keyword is "and" not "then"
"And" means the choco bar was split at the same time to the portions given in question
If u use "Then", means the bar was split by the first two kids, then one of the portions was split with the other kid.
Doesn't matter if it's a year 6 question or a university maths question, the wording is putting people off and this forum is proof that people have different interpretations about it.
If there are 1 or 2 people that are contesting the question but 95% of the other people are getting it then the wording is correct, unfortunately, this isn't the case.
The word 'if' shouldn't be there because the question implies that Antonia will have a share in the bar, 'how much chocolate did Antonia get'.
This is how I interpreted the statement: 'If Daniel and Jacob split it 1:3 and Jacob and Antonia split it 1:2'.
If the keyword is 'and' as you stated, I have split the statement into 2 parts:
1 - Daniel and Jacob splitting the bar between them - 'If Daniel and Jacob split it 1:3'
2 - Then Jacob splits his share with Antonia - 'and Jacob and Antonia split it 1:2'
I assumed the second part implies that Jacob will share his portion of the bar with Antonia, furthermore, the word 'split' has significance in the statement as well.
And from the replies and likes from comments, I assume this breakdown is how people interpreted the statement, and that's where the answer 325g came from.
If the keyword is 'and' as you stated, I have split the statement into 2 parts:
1 - Daniel and Jacob splitting the bar between them - 'If Daniel and Jacob split it 1:3'
2 - Then Jacob splits his share with Antonia - 'and Jacob and Antonia split it 1:2'
again, you use "then" instead of "and", like you're pushing what you want, not what the question wants.
if you ever did selective test for year 6, you should not think as an adult, but think as a year 6 kid to answer the question.
anyway, I was just showing how to answer a year 6 question, not to argue.
Seems like that maths teacher needs to go back to English class.
Please show them this thread.
I think math questions need to be written with the assistance of English teachers. Even this question here could be misinterpreted and confuse people because it states, “if” which means no one got any pieces because it was never actually split.
For all those complaining that the question is poorly worded, and the answer is 325g, this is a multiple choice question. 325g is not one of the possible answers.
Even if you initially interpreted "and" to mean "and then", you'd pretty soon realise you have misinterpreted the word.
You would then move onto the next most likely interpretation, that is, the ratio is 1:3:6, which would easily give you the answer E.
The whole point of multiple choice questions is not to get the correct answer, but to get the most correct answer.
Hmmm no just no. Typically, you don’t get enough time for trial and error method when you take an exam.
Also, ‘most correct answer’ is not a thing in math. It is either right or wrong.
It's been a long time since I was doing a selective school test, but to my recollection, most of my classmates finished the test with time to spare. That means they would have had time to engage in trial and error for this one question. I'm not suggesting they would have to do it for all the questions, since some would have more obvious answers.
That's still not how it's supposed to work.
This is the most unique take here.
'Close enough' in maths? Are you confusing the subject with political studies or something?
And lol at the 'multiple choice' take, too. If this was irony then you deserve all the upvotes.
The correct answer is: you need to print this ozb discussion and attach it to the answer for the teacher.
This question should be related to the other Forum question "Are teachers overpaid?". For a start, it should be "a chocolate bar that weighed 0.65kg", not "which weighed 0.65kg". The rest of the question is also worded badly. And the question doesn't seem to require math skills. It requires a deep understanding of how some people have problems communicating properly.
When I was at uni, practically everyone I knew who didn't excel enough to get a proper job (or barely passed their courses) subsequently did a short diploma in education after graduating and became a teacher. The thing is, they're now probably earning over $100k.
Wanna be a smartass?
It actually should be 'had a mass of …kg'
kg is mass. newton is weight.
My apologies to teachers everywhere:
‘Those who can, do; those who can’t, teach.’
->Those that can’t do either, teach teaching?
The bigger question is, why do they have precision scales? They must be dividing a lot of chocolate, lol.
Poll Anyone?
3/4 * 2/3 * 650g
= 1/2 * 650g
= 325g
Edit: I now realise I misread the question as Antonia splitting Jacobs portion but actually they are all splitting directly from the total. I think the question should be worded better.
This teacher is probably not underpaid.
0h memories.. its simple ratio/proportion question, used to be my fav topic in 5th grade
here is the solution, click the link pls
https://www.mediafire.com/view/rbpzndpctmld1hw/maths.png/fil…
One can only assume you are a scammer.
'click this link pls'.
Everyone be careful clicking the link.
You don't need to post a link to post a solution.
its easy to understand in hand written form, instead of typing.. wanted to show how we used to do these questions in our childhood.
couldn't "embed" the picture in reply here so only option was to upload the pic of solution.
though my post looks like scamming, I give u for that.
It’s not 2001 anymore
Teacher has definitely worded it wrong. Everyone is assuming that he shares it Daniel and then the remainder is split with Antonia. The question doesn't actually say this. It's just poor grammar.
I believe the question is meant to say that Jacob is making a choice between either splitting it between himself and Daniel or himself and Antonia.
If he chose to split it with only Antonia, then that would make the answer C) 433g (after rounding)
This is the only way the question could make sense with the provided answers
I misread the question at first assuming the two jacobs were actually different names so I got an answer 217g that wasn’t on the answers list
Then I reread the question and its 1:3 with jacob and 1:2 with Antonia
So putting it all into a common ratio for the whole its 1:3:2*3 - 1:3:6
Add all the ratios up to 10, divide .65kg by 10 and multiply by 6 to get Antonia’s portion
.065*6=.39kg or 390g
Daniel = x
Jacob = 3x
Antonia = 6x
x+ 3x+6x = 650g
10x=650g
x=65g
Antonia = 6x
6*65 = 390g
E
I like that Googling this question only brings up this page as a relevant result.
Mafs…
Some people have mathematically shown that 390g is what Antonia got, which is correct and can be easily verified. Jacob got half of Antonia's share, which is 390/2=195g. Daniel got one-third of Jacob's share, which is 195/3=65g. 390+195+65=650g, which is the total quantity.
The true loser here was Daniel.
He thought he got 162.5g .. but the teacher decided .. he got only 65g.
Capitalism ?
Here's how you word such a question:
Daniel, Jacob and Antonia split a 0.65kg chocolate bar such that Daniel got a third of the amount of chocolate that Jacob got, and Jacob got a half as much chocolate as Antonia. How much chocolate did Antonia get?
I think the teacher's mistake was that they were trying to force this to be a question about relative ratios, without directly disclosing the 1:3:6 ratio.
Dan jacob = 1:3
Jacob ant = 1:2
If dan gets 1, jacob gets 3, for every 1 jacob gets ant gets 2. Therefore dan gets 1: jac 3: ant 3x2=6.
1:3:6
Divide .65 by (1+3+6) = 0.065kg or 65g.
Dan gets 1x65 = 65g
Jacob gets 3x65 = 195g
Ant gets 6x65 = 390g
I have a maths degree AND 3 education degrees including high school teaching.
I agree on 325g, and the "solutions" leading to 390g are convoluted. I've seen primary school maths problems before where the teacher gets it wrong.
There are compulsory literacy & numeracy tests for new teachers https://teacheredtest.acer.edu.au/
The wording on this question is atrocious
The wording in this question is probably okay since 325g is not an option.
This is the intention of the question….
Daniel 1 part
Jacob 3 parts (from the Daniel and Jacob 1:3 info)
Antonia 6 parts (from the Jacob and Antonia 1:2 info) ie. Antonia has twice as many parts as Jacob
So Antonia has 6/10 times 650g = 390g.
The correct answer is A Antonia will receive the least amount of chocolate due to the inevitable inequality in the distribution of wealth and resources.