Question

A sum of $Rs.2700$ is to be given in the form of $63$ prizes If the prizes is of either $100$ or $25$ ,find the number of prizes of each type.

Answer 1

Let prizes of $100$ be $x$ and $25$ be $y$

$x+y=\mathrm{63.....}\left(i\right)$

$100x+25y=\mathrm{2700.......}\left(ii\right)$

Solving $\left(i\right)$ and $\left(ii\right)$, we get

$x=15,y=48$