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At a certain stand, all soft drinks cost the same and all sandwiches

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Bunuel
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At a certain stand, all soft drinks cost the same and all sandwiches [#permalink] New post  21 Oct 2019, 01:50
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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.
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Re: At a certain stand, all soft drinks cost the same and all sandwiches [#permalink] New post  21 Oct 2019, 01:56
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Bunuel wrote:
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.


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..
\(2(3y+x)-(y+2x)=2*5.70-3.15.....5y=11.40-3.15=8.25...y=1.65\)

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Re: At a certain stand, all soft drinks cost the same and all sandwiches [#permalink] New post  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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Re: At a certain stand, all soft drinks cost the same and all sandwiches [#permalink]
13 Apr 2023, 05:25
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