Question

If $\frac{2}{3}$ of a number is 10, then what is 1.75 times of that number?

Answer 1

Let the number be x.

According to the question,
$\frac{2}{3}ofx=10\Rightarrow \frac{2}{3}\times x=10$

On multiplying both sides by $\frac{3}{2},$we get,

$\frac{2}{3}\times x\times \frac{3}{2}=10\times \frac{3}{2}\Rightarrow x=5\times 3\Rightarrow x=5\times 3\Rightarrow x=15$

Hence, 1.75 times of 15 $=\frac{175}{100}\times 15=\frac{2625}{100}=26.25$