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$\frac{4}{5}$ of 5 Kg apples were used on Monday. The next day $\frac{1}{3}$ of what was left was used. Weight ( In Kg ) of apples left now is?
Given:
Total weight of apples = 5 kg
Fraction of apples used on Monday = $\frac{4}{5}$
Fraction of apples used on Tuesday = $\frac{1}{3}$
To find: Here we have to find the weight of apples left.
Solution:
$\frac{4}{5}$ of 5 Kg apples were used on Monday;
Apples used on Monday = $\frac{4}{5}$ of 5 Kg
Apples used on Monday = $\frac{4}{5}$ $\times$ 5 Kg
Apples used on Monday = 4 Kg
So,
Apples left now = Total apples $-$ Apples used on Monday
Apples left now = 5 $-$ 4 Kg
Apples left now = 1 Kg
Now, the next day $\frac{1}{3}$ of what was left was used;
Apples used on Tuesday = $\frac{1}{3}$ of 1 Kg
Apples used on Tuesday = $\frac{1}{3}$ $\times$ 1 Kg
Apples used on Tuesday = $\mathbf{\frac{1}{3}}$ Kg
Therefore, weight of apples left is;
Weight (in kg) of apples left now is = Total weight of apples $–$ Weight of apples used on Monday $-$ Weight of apples used on Tuesday
Weight of apples left now is = 5 $–$ 4 $-$ $\frac{1}{3}$ Kg
Weight of apples left now is = 1 $-$ $\frac{1}{3}$ Kg
Weight of apples left now is = $\frac{3\ -\ 1}{3}$ Kg
Weight of apples left now is = $\mathbf{\frac{2}{3}}$ Kg
So, the weight of apples left is $\frac{2}{3}$ Kg.
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