Kevin buys beer in bottles and cans. He pays $1.00 for each

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B

C

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Kevin buys beer in bottles and cans. He pays $1.00 for each can of beer and $1.50 for each bottle of beer. If he buys a total of 15 bottles and cans of beer, how many bottles of beer did he buy?

1. Kevin spent a total of $18.00 on beer.
2. Kevin bought 3 more cans of beer than bottles of beer.

The OA is D

Source: Princeton Review
Source: — Data Sufficiency |

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by deloitte247 » Sun Jul 14, 2019 11:11 am

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A

B

C

D

E

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Let the number of cans = C at $1.00 each
Let the number of bottles = B at $1.50 each
C + B = 15, Find B
Statement 1=> Kevin spent a total of $18.00 on beer
1 C + 1.5 B = 18 ------ eqn 1
C + B = 15 ------ eqn 2
solving simultaneously; subtract eqn 2 from eqn 1;
0.5 B = 3
B = 3/0.5 = 6
Statement 1 is SUFFICIENT

Statement 2=> Kevin bought 3 more cans of beer than ottles of beer
C = B + 3
C + B = 15 where C = B + 3
B + 3 + B = 15
2B + 3 = 15
2B = 15 - 3 = 12
B = 12/2 = 6
Statement 2 is SUFFICIENT

Therefore, both statement alone are SUFFICIENT

Answer is D.