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Question 1190615: An average weight of 3 containers A, B, C is 3.2kg. Container A is twice as heavy as Container B. Container B is 400g heavier that Container C. Find the weight of Container C.
Answer by ikleyn(52810)   (Show Source):
You can put this solution on YOUR website! .
An average weight of 3 containers A, B, C is 3.2 kg.
Container A is twice as heavy as Container B.
Container B is 400g heavier that Container C.
Find the weight of Container C.
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Let x = weight/(mass) of container C, in grams.
Then container B weights (x+400) grams, while container A weights 2*(x+400) grams.
At this point, we write the total weight equation
A + B + C = 3*3200 grams.
2(x+400) + (x+400) + x = 9600
Simplify and find x
2x + 800 + x + 400 + x = 9600
4x = 9600 - 800 - 400
4x = 8400
x = 8400/4 = 2100.
ANSWER. Container C weights (has a mass of) 2100 grams.
Solved (with explanations and steps).
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