Question

There are some $25$ paise coins and some $50$ paise coins in a bag. The total number of coins is $140$ and the amount in the bag is $Rs.50$. Find the number of coins of each value in the bag.

Answer 1

Let $a$ and $b$ be number of $25$ paise and $50$ coins, respectively. Then

Given that:

$x+y=140$ ......(1)

$25x+50y=5000$ $[Rs.50=5000paise]$

$x+2y=200$ ......(2)

On subtracting equation (1) from equation (2), we get

$y=60$

So, $x=80$

Hence, there are $80$ coins of $25$ paise and $60$ coins of $50$ paise in the bag.