SOLUTION: A 12 kg block of gold is cut into 3 pieces A,B and C. The weights of pieces A and B are in the ratio 2 : 3. If the weight of piece C is 4 kg, what are the weights of the other piec

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: A 12 kg block of gold is cut into 3 pieces A,B and C. The weights of pieces A and B are in the ratio 2 : 3. If the weight of piece C is 4 kg, what are the weights of the other piec      Log On


   



Question 815392: A 12 kg block of gold is cut into 3 pieces A,B and C. The weights of pieces A and B are in the ratio 2 : 3. If the weight of piece C is 4 kg, what are the weights of the other pieces?
Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
a + b = 12 - 4 = 8 kg
a + b = 8
a = 8 - b
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a/b = 2/3
a = (2/3)b
8 - b = (2/3)b
8 = (2/3)b + b
8 = (5/3)b
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b = 8(3/5)
b = 4.8
a = 3.2
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