Question

$\frac{3}{5}$ of the balls in a box are red. The rest are green and yellow. The ratio of the number of green balls to the number of yellow balls is $5:3$. If there are $10$ less yellow balls than green balls, how many red balls are there?

Answer 1

The ratio of of the number of green balls to the number of yellow number is $5:3$.

Let no. of green balls $=5$ units and no. of yellow balls $=3$ units.

Their difference $=(5-3)$ units $=2$ units.

$2$ units $=10$

$1$ units $=5$

Now, total no. of yellow and green balls in the box $=(5+3)$ units $=8$ units $=8\times 5=40$.

These $40$ balls are $\frac{2}{5}$ of the total no. of in the box,

So, $\frac{2}{5}=40\frac{1}{5}=20\frac{3}{5}=60$

As, $\frac{3}{5}$ of the balls in the box are red. The number of red balls in the box is $60$.