The ratio of copper and zinc in an alloy is 7 : 8. If the weight of zinc is 9.6 kg, what is the weight of copper in the alloy ?
Question
The ratio of copper and zinc in an alloy is 7 : 8. If the weight of zinc is 9.6 kg, what is the weight of copper in the alloy ?
Solution
To find the weight of copper in the alloy, we need to follow these steps:
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We know that the ratio of copper to zinc is 7:8. This means that for every 7 parts of copper, there are 8 parts of zinc.
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We know that the weight of zinc in the alloy is 9.6 kg. Since 8 parts of the ratio correspond to 9.6 kg of zinc, 1 part of the ratio corresponds to 9.6 kg / 8 = 1.2 kg.
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Therefore, the weight of copper in the alloy, which corresponds to 7 parts of the ratio, is 7 * 1.2 kg = 8.4 kg.
So, the weight of copper in the alloy is 8.4 kg.
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