SOLUTION: Megan has a certain number of tiles. She takes 1/12 of the tiles and puts them in Box A. She takes 1/4 of the remaining tiles and puts them in Box B. The rest of the tiles are plac
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Question 1031155: Megan has a certain number of tiles. She takes 1/12 of the tiles and puts them in Box A. She takes 1/4 of the remaining tiles and puts them in Box B. The rest of the tiles are placed in Box C. There are 22 more tiles in Box C than Box B. How many tiles are in Box A?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Let 
represent the total number of tiles at the start. So we are told that 
is the number of tiles in Box A. This means that 
tiles remain to be divided between Box B and Box C. Since one-fourth of the remaining tiles go into Box B, we know two facts:
1. The number of tiles in Box B is represented by \left(\frac{11x}{12}\right))
2. The number of tiles in Box C is represented by 1 minus the number of tiles in Box B which is to say: \left(\frac{11x}{12}\right))
But we also know that there are 22 more tiles in Box C than in Box B, so another representation of the number of tiles in Box C is \left(\frac{11x}{12}\right)\ +\ 22)
Since we have two expressions for the same value, we can set them equal to each other:
\left(\frac{11x}{12}\right)\ =\ \left(\frac{1}{4}\right)\left(\frac{11x}{12}\right)\ +\ 22)
Solve for and then calculate
John
My calculator said it, I believe it, that settles it
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