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 the option D.

I don't know how to prove that the statement (2) is sufficient. Experts, can you help mere? Please. I need your help. <i class="em em-grimacing"></i>

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

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### GMAT/MBA Expert

- Brent@GMATPrepNow
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VJesus12 wrote: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.

**Target question:**

**How many bottles of beer did Kevin buy?**

**Given: Kevin pays $1.00 for each can of beer and $1.50 for each bottle of beer. Kevin buys a total of 15 bottles and cans of beer**

Let C = the NUMBER of Cans that Kevin bought

Let B = the NUMBER of Bottles that Kevin bought

So, we can write: C + B = 15

**Statement 1: Kevin spent a total of $18.00 on beer**

The COST of C cans = ($1.00)C = 1C

The COST of B bottles = ($1.50)B = 1.5B

So, we can write: 1C + 1.5B = 18.00

When we combine this equation with the equation we created from the given information, we have:

C + B = 15

1C + 1.5B = 18.00

Since we COULD solve this system for C and B, we COULD determine the number of bottles of beer that Kevin bought.

(of course, we won't solve the system, since that would be a waste of our valuable time!)

Since we can answer the target question with certainty, statement 1 is SUFFICIENT

**Statement 2: Kevin bought 3 more cans of beer than bottles of beer**

We can write: C = B + 3

When we combine this equation with the equation we created from the given information, we have:

C + B = 15

C = B + 3

Since we COULD solve this system for C and B, we COULD determine the number of bottles of beer that Kevin bought.

Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Answer: D

Cheers,

Brent

Brent Hanneson - Creator of GMATPrepNow.com

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