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?

Algebra ->  Percentage-and-ratio-word-problems -> 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?      Log On


   

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) About Me  (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+%2B+4x+%2B+%285%2F6%294x+=+160kg

6x + 4x + (10/3)x = 160kg

18x + 12x + 10x = 480

40x = 480

x = 12kg 

A: 72kg 6%2A12kg

B: 48kg 4%2A12kg

C: 40kg %285%2F6%2948

AND

sum = 160kg CHECKS!