Question

When a certain number is multiplied by $\frac{1}{4}$ and the product is then multiplied by $32$, the result is $60$. What is the number?

• A. $\frac{15}{4}$
• B. $\frac{15}{8}$
• C. $\frac{15}{2}$
• D. $\frac{15}{3}$

Answer 1

Answer: (C)

$\frac{15}{2}$

Let the number be $x$.

If $x$ is multiplied by $\frac{1}{4}$, then their product is multiplied by $32$.

This implies that:

$x\times \frac{1}{4}\times 32=8x$

Now it is given that the result is $60$

Therefore,

$8x=60$

$\Rightarrow x=\frac{60}{8}$$=\frac{15}{2}$

Hence, the number, $x=\frac{15}{2}$.