Question

The ratio between weights of gold and silver in an alloy is $17:3$. If the weight of silver in the alloy is $2.7gm$, find:

the ratio of weight of gold to that of alloy

Answer 1

Given that the weight of silver in the alloy $=$ $2.7gm$

and also the ratio between weights of gold and silver in an alloy is $17:3$.

Assume weight of gold in the alloy $=xgm$

$$\begin{gathered} \frac{x}{2.7gm}=\frac{17}{3} \\ x=\frac{17\times 2.7gm}{3} \\ x=15.3gm \end{gathered}$$

Therefore, the weight of gold in the alloy is $15.3gm$

Now, weight of alloy $=$ weight of silver in the alloy $+$weight of gold in the alloy

$=$$2.7gm+15.3gm$

$=$$18gm$

Ratio of weight of gold to that of alloy$=$$\frac{15.3gm}{18gm}=\frac{15.3}{18}=\frac{5.1}{6}$

Hence, the ratio of weight of gold to that of alloy is $5.1:6$