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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?
A. (B + 200)/2.
B. (B + 2)/6.
C. (2B + 200)/3.
D. (B + 2)/3.
E. (B + 2)/6.
Correct Answer: E
Explanation/Reference:
Explanation:
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 = 2W 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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