Question

Out of $400$ oranges in a basket , $\frac{2}{5}$ of them are rotten and $\frac{3}{5}$ of them are eaten .Find the remaining number of oranges.

Answer 1

Step 1 Given that :

Total number of oranges $=400$

Number of rotten oranges $=\frac{2}{5}$ of total oranges

Number of eaten oranges $=\frac{3}{5}$of total oranges

Step 2 Finding number of rotten oranges :

Number of rotten oranges $=\frac{2}{5}$ of total oranges $=\frac{2}{5}\times 400$

$=\frac{2}{{\bcancel{5}}^1}\times {\bcancel{400}}^{80}=2\times 80$

So Number of rotten oranges $=160$

Step 3 Finding number of eaten oranges :

Number of eaten oranges $=\frac{3}{5}$ of total oranges $=\frac{3}{5}\times 400$

$=\frac{3}{{\bcancel{5}}^1}\times {\bcancel{400}}^{80}=3\times 80$

So Number of eaten oranges $=240$

Step 3 Finding number of remaining oranges :

Number of remaining oranges $=$(Total number of oranges) $-$ (number of rotten oranges) $-$ (number of eaten oranges)

$=400-160-240=240-240=0$

Therefore, Total number of remaining oranges is $\mathbf{0}$.