SOLUTION: The weights of A and B are in the ratio 6:4. The weights of B and C are in the ratio 6:5. If A,B and C weigh 160 kg in all,how much does each weighs?

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Question 1048425: The weights of A and B are in the ratio 6:4. The weights of B and C are in the ratio 6:5. If A,B and C weigh 160 kg in all,how much does each weighs?
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi
B/C = 6/5
5B = 6C
C = (5/6)B
Let x represent the constant of proportionality

6x + 4x + (10/3)x = 160kg
18x + 12x + 10x = 480
40x = 480
x = 12kg
A: 72kg
B: 48kg
C: 40kg
AND
sum = 160kg CHECKS!

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