Question

Form a pair of linear equations in two variables for the following information.
"There are some $50$ paisa and $25$ paisa coins in a bag. The total number of coins are $140$ and the value of all coins is $Rs.50$."

Answer 1

Let the $50$ paisa coins be $x$ and $25$ paisa coins be $y$, then

$x+y=140$

and

$\frac{50x}{100}+\frac{25y}{100}=50$

$\Rightarrow \frac{x}{2}+\frac{y}{4}=50$

$\Rightarrow 2x+y=200$