SOLUTION: There are some apples in three boxes. A, B and C. 40% of the number of apples in Box A is equal to 25% of the number of apples in Box B. The number of apples in Box C is 1/3 the nu

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: There are some apples in three boxes. A, B and C. 40% of the number of apples in Box A is equal to 25% of the number of apples in Box B. The number of apples in Box C is 1/3 the nu      Log On


   



Question 1200904: There are some apples in three boxes. A, B and C. 40% of the number of apples in Box A is equal to 25% of the number of apples in Box B. The number of apples in Box C is 1/3 the number of apples in Box B.
(a) Express the number of apples in Box C as a fraction of the number of apples
in Box A.
(b) If 1/2 of the apples in Box B are removed and placed into Box C, there will be 380
apples in Box C. How many apples are there in Box A?

Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Description seems to put in terms of box B.
A, B and C. 40% of the number of apples in Box A is equal to 25% of the number of apples in Box B.
The number of apples in Box C is 1/3 the number of apples in Box B.
BOX
 A
 B       b
 C       b%2F3

ANOTHER way to show this is
BOX
 A        a
 B       3c
 C       c

The other part of description gives system%28%282%2F5%29a=%281%2F4%29%2A3c%2Cc=%281%2F3%29%2A3c%29.
8a=15c

__________________________________________________
Express the number of apples in Box C as a fraction of the number of apples
in Box A.
__________________________________________________

Find c%2Fa.
highlight%28c%2Fa=8%2F15%29

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If 1/2 of the apples in Box B are removed and placed into Box C, there will be 380 apples in box C.
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3c%2F2%2Bc=380
3c%2B2c=2%2A380
5c=760
highlight%28c=152%29---------------and the question asks for a, how many in box A. You already found c%2Fa=8%2F15.