GMAT Quantitative Reasoning Practice Test 4

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.