SOLUTION: Lisa 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 place

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Question 1046587: Lisa 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 ankor@dixie-net.com(22740) About Me  (Show Source):
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Lisa 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?
:
let t = the Original number of tiles
therefore
1%2F12t = no. of tiles in Box A
therefore
11%2F12t = the remaining number of tiles
11%2F12t * 1%2F4 = 11%2F48t = no. of tiles in Box B
:
"The rest of the tiles are placed in Box C."
C tiles = t - 1%2F12t - 11%2F48t
C = 48%2F48t - 4%2F48t - 11%2F48t
C = 33%2F48t tiles in Box C
:
"There are 22 more tiles in Box C than Box B."
33%2F48t - 11%2F48t = 22%2F48t
22%2F48t = 22
22t = 22*48
t = 48 tiles originally
:
"How many tiles are in Box A? "
1%2F12*48 = 4 tiles in Box A