GMAT Quantitative Reasoning Practice Test 4

Question : 8 of 100

Marks: +1, -0

A customer asks the clerk for a paintbrush and a bucket of whitewash for a total price of B dollars. If the paintbrush costs 200 cents less than twice the price of a bucket of whitewash, what is the price of half a bucket of whitewash in dollars?

$(B+200) \/ 2$
$(B+2) \/ 6$
$(2 B+200) \/ 3$
$(B+2) \/ 3$
$(B+2) \/ 6$

Validate

Solution:

Define

W

as the price of the bucket of whitewash and

P

as the price of a paintbrush. You can write the following equations:

P+W=B

and

P=2 W-2

.
Notice that 200 cents are translated into 2 dollars.
From the equations we can conclude that

W=(B+2) \/ 3

.
Therefore, the price of half a bucket is

(B+2) \/ 6

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