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 Post subject: GL Math Question - 2Posted: Mon Sep 09, 2019 4:46 pm

Joined: Thu Feb 01, 2018 12:37 am
Posts: 14
Pack 2, Paper 5, Q6:
Karen, Amrit and Sam are going to share two pizzas equally between them. What fraction of a whole pizza should each of them have?
a) 1/2
b) 3/4
c) 1/4
d) 1/3
e) 2/3

The answer is apparently D, but how is that possible? If each gets 1/3 of two wholes, then that's equivalent of each getting 2/3 of a single whole. The answers should be E, no?

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 Post subject: Re: GL Math Question - 2Posted: Mon Sep 09, 2019 5:00 pm

Joined: Fri Sep 15, 2006 9:51 am
Posts: 10830
mumili wrote:
Pack 2, Paper 5, Q6:
Karen, Amrit and Sam are going to share two pizzas equally between them. What fraction of a whole pizza should each of them have?
a) 1/2
b) 3/4
c) 1/4
d) 1/3
e) 2/3

The answer is apparently D, but how is that possible? If each gets 1/3 of two wholes, then that's equivalent of each getting 2/3 of a single whole. The answers should be E, no?

I think the answer is D - if the question read " what fraction of the TWO pizzas would they have then it could be E . You can't share a whole pizza fairly between 3 and get 1/3 each

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 Post subject: Re: GL Math Question - 2Posted: Mon Sep 09, 2019 5:13 pm

Joined: Fri Mar 10, 2017 5:06 pm
Posts: 682
I agree with mumili, and would have thought the answer was 2/3 each.

2 pizzas divided by 3 people = 2 / 3

You don't even HAVE to give each person 1/3 of each pizza.
Karen could get 2/3 of the first pizza, Amrit could get 2/3 of the second pizza and Sam could get the 2 remaining pieces and it would still be equally divided.

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 Post subject: Re: GL Math Question - 2Posted: Mon Sep 09, 2019 5:19 pm

Joined: Thu Feb 01, 2018 12:37 am
Posts: 14
Surferfish wrote:
I agree with mumili, and would have thought the answer was 2/3 each.

2 pizzas divided by 3 people = 2 / 3

You don't even HAVE to give each person 1/3 of each pizza.
Karen could get 2/3 of the first pizza, Amrit could get 2/3 of the second pizza and Sam could get the 2 remaining pieces and it would still be equally divided.

DS went with E, and seeing the answer as D he started to justify it, saying that indeed each pizza should be divided into three slices, and each should get a slice from each pizza etc.
I told him that his initial reasoning was OK and that the question was wrong.

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 Post subject: Re: GL Math Question - 2Posted: Mon Sep 09, 2019 5:22 pm

Joined: Fri Sep 15, 2006 9:51 am
Posts: 10830
I don't think it is a very well worded question - suspect they meant it to be a 1/3 of each pizza

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 Post subject: Re: GL Math Question - 2Posted: Mon Sep 09, 2019 7:13 pm

Joined: Mon Jun 18, 2007 3:32 pm
Posts: 7886
Location: East Kent
I would say they get a 1/3 of a whole pizza each.

This sort of ‘trap’ in the question is very common in SATs

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 Post subject: Re: GL Math Question - 2Posted: Mon Sep 09, 2019 9:23 pm

Joined: Sat Sep 22, 2018 7:53 am
Posts: 77
It’s 1/3 because two pizzas split equally is 6 pieces and each gets 2/6 so that is 1/3. If of one whole pizza it’s still 1/3? This is what my ds thinks.

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 Post subject: Re: GL Math Question - 2Posted: Tue Sep 10, 2019 6:43 am

Joined: Mon Dec 24, 2018 4:27 pm
Posts: 81
I remember last year this question was asked and Guess55 said it was poor wording and the answer is 2/3.

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 Post subject: Re: GL Math Question - 2Posted: Tue Sep 10, 2019 12:36 pm

Joined: Fri Mar 10, 2017 5:06 pm
Posts: 682
yoyo123 wrote:
I would say they get a 1/3 of a whole pizza each.

This sort of ‘trap’ in the question is very common in SATs

So that means that regardless of the number of pizzas, the answer would always be a third? That doesn't make sense.

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 Post subject: Re: GL Math Question - 2Posted: Tue Sep 10, 2019 12:45 pm

Joined: Mon Oct 21, 2013 8:59 pm
Posts: 6738
It's worded in such a way that it is not clear.

But there are two pizzas and each pizza is going to be shared equally between the three of them.

So Pizza 1 is shared equally (into, for arguments sake, three slices) so they get 1/3rd each.

Pizza 2 is shared equally (into, for arguments sake, three slices) so they get 1/3rd each.

Then the question asks:
"What fraction of a whole pizza should each of them have?"

So the answer is they should have 1/3rd of a whole pizza.....although they will actually end up with 2 x 1/3rds as they have one slice (fraction) from each pizza.

It is a maths question with verbal reasoning involved...

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