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4.5 g of an alloy of copper and zinc contains 3.5 g of copper. What weight of copper (in g) will there be in 18.9 g of the alloy?

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14.7g

14g

15g

14.9g

answer is A.

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Detailed Solution

Given, 4.5 g of an alloy of copper and zinc contains 3.5 g of copper.
The ratio of weight of copper to the zinc is

\frac{4.5}{3.5} = \frac{9}{7}

.
Given, the weight of alloy is 18.9.
Let the common ratio be x.
So, 9x + 7x = 18.9.
x = 1.18125 g
So the weight of copper in the alloy is 9x = 9

\times

1.18125 = 14.7 g.
Hence, option 1 is correct.

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