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## Peter went to the store to buy paint

tagged by: Vincen

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### Top Member

Vincen Legendary Member
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#### Peter went to the store to buy paint

Tue Dec 05, 2017 9:50 am
Peter went to the store to buy paint. Small cans cost $30 and larger cans cost$80. How many small cans of paint did he buy?

Statement #1: Peter spent $220 on paint. Statement #2: Peter bought four cans of paint in total. The OA is A. Can any expert give me some help here? I don't know how to solve this PS question. Thanks in advanced. ### GMAT/MBA Expert Rich.C@EMPOWERgmat.com Elite Legendary Member Joined 23 Jun 2013 Posted: 9442 messages Followed by: 480 members Upvotes: 2867 GMAT Score: 800 Tue Dec 05, 2017 11:04 am Hi Vincen, We're told that Peter went to the store to buy paint. Small cans cost$30 and larger cans cost $80. We're asked for the number of small cans of paint he bought. 1) Peter spent$220 on paint.

Since $220 is a relatively small total, we can 'brute force' the possible solutions by TESTing VALUES. Could there be.... 0 large cans...$220 is NOT divisible by $30, so 0 large cans is NOT possible. 1 large can...$140 is NOT divisible by $30, so 1 large can is NOT possible. 2 large cans...$60 IS divisible by $30 - and the answer to the question would be 2. 3 large cans would cost$240 - which is higher than the \$220 total, so 3 large cans is NOT possible.

Thus, there is only 1 answer (2 small cans).
Fact 1 is SUFFICIENT

2) Peter bought four cans of paint in total.

With the information in Fact 2, Peter could have bought from 0 - 4 small cans (inclusive) of paint.
Fact 2 is INSUFFICIENT

GMAT assassins aren't born, they're made,
Rich

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Contact Rich at Rich.C@empowergmat.com

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