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21 Oct 2019, 01:50
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
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Question Stats:
91% (00:49) correct
9%
(00:48)
wrong
based on 204
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At a certain stand, all soft drinks cost the same and all sandwiches cost the same. How much does 1 sandwich cost at the stand?
(1) At the stand, 1 sandwich and 2 soft drinks cost a total of $3.15.
(2) At the stand, 3 sandwiches and 1 soft drink cost a total of $5.70.
(1) At the stand, 1 sandwich and 2 soft drinks cost a total of $3.15.
(2) At the stand, 3 sandwiches and 1 soft drink cost a total of $5.70.
21 Oct 2019, 01:56
Kudos
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Bunuel
At a certain stand, all soft drinks cost the same and all sandwiches cost the same. How much does 1 sandwich cost at the stand?
(1) At the stand, 1 sandwich and 2 soft drinks cost a total of $3.15.
(2) At the stand, 3 sandwiches and 1 soft drink cost a total of $5.70.
(1) At the stand, 1 sandwich and 2 soft drinks cost a total of $3.15.
(2) At the stand, 3 sandwiches and 1 soft drink cost a total of $5.70.
Let soft drinks cost x each and sandwiches cost y each... We want to know y...
We can see that each statement gives us two unique equations with two variables, hence we can find x and y when two statements are combined..SUff
Lets check each statement..
(1) At the stand, 1 sandwich and 2 soft drinks cost a total of $3.15.
y+2x=3.15...(i)
(2) At the stand, 3 sandwiches and 1 soft drink cost a total of $5.70.
3y+x=5.70....(ii)
Combined..
Multiply (ii) by 2 and subtract (i) from it..
\(2(3y+x)-(y+2x)=2*5.70-3.15.....5y=11.40-3.15=8.25...y=1.65\)
C
13 Apr 2023, 05:25
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Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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