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There were some sweets in Bags A, B and C. Tom moved 1/3 of the sweets in Bag A to Bag B. Later, he moved 2/5 of the sweets in Bag B to Bag C. In the end, each bag contained 36 sweets. Find the ratio of the number of sweets in Bags A, B and C at first.

 Oct 20, 2021
 #6
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There were some sweets in Bags A, B and C. Tom moved 1/3 of the sweets in Bag A to Bag B. Later, he moved 2/5 of the sweets in Bag B to Bag C. In the end, each bag contained 36 sweets. Find the ratio of the number of sweets in Bags A, B, and C at first.

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3 * 36 = 108

A = 36 + 1/2(36) = 54

B =>           (B + 18) - 2/5(B + 18) = 36     B = 42

C = 108 - (54 + 42) = 12

54:42:12   =   9 : 7 : 2

 Oct 21, 2021

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