Question

$\frac{4}{5}$ of 5 kg apples were used on Monday. The next day $\frac{1}{3}$ of what was left was used. The weight (in kg) of apples left now is _____.

• A. $\frac{4}{21}$
• B. $\frac{1}{14}$
• C. $\frac{2}{7}$
• D. $\frac{2}{3}$

Answer 1

The correct option is D $\frac{2}{3}$

Apples used on Monday $=\frac{4}{5}of5=\frac{4}{5}\times 5=4kg$
Remaining apples $=5-4=1kg$
Apples used next day $=\frac{1}{3}$ of the remaining apples
$=\frac{1}{3}\times 1kg=\frac{1}{3}kg$
So weight of apples left now
= Total apples - Apples used on Monday - Apples used next day
$=(5-4-\frac{1}{3})=\frac{15-12-1}{3}$
$=\frac{2}{3}kg$