Question

The ratio of copper and zinc in an alloy is $9:8$. If the weight of zinc in the alloy is $9.6kg$, find the weight of copper in the alloy.

• A. $6.6$ kg
• B. $5.4$ kg
• C. $10.2$ kg
• D. $10.8$ kg

Answer 1

The correct option is D $10.8$ kg

Given,

Ratio of copper and zinc in an alloy $=9:8$

Weight of zinc in an alloy $=9.6kg$

Let $xkg$ be the weight of copper in the alloy.

Hence, the weight of copper can be calculated as follows:

$9:8=x:9.6$

$\Rightarrow 8\times x=9\times 9.6$

$\Rightarrow x=\frac{86.4}{8}$

$\Rightarrow x=10.8$ kg