The ratio of copper and zinc in an alloy is $$ 9 : 8 $$. If the weight of zinc, in the alloy, is $$ 9.6\,kg $$ , find the weight of copper in the alloy.
Given
Ratio of copper and zinc in an alloy $$ = 9: 8 $$
Weight of zinc in an alloy $$ = 9.6\,kg $$
Let $$ x\,kg $$ be the weight of copper in the alloy
Hence the weight of copper can be calculated as below
$$ 9 : 8 = x : 9.6 $$
$$\implies \dfrac {9}{8}=\dfrac{x}{9.6}$$
$$ \Rightarrow \, 8 \times x = 9 \times 9.6 $$
$$ \Rightarrow \, x = \dfrac{9 \times 9.6}{8} $$
$$ \Rightarrow \, x = \dfrac{86.4}{8} $$
$$ \Rightarrow \, x = 10.8 $$
Therefore the weight of copper in the alloy is $$ 10.8\, kg $$