Question

Yamini and Fatima, two students of Class $IX$ of a school, together contributed $Rs.100$ towards the Prime Minister's Relief Fund to help the earthquake victims. Write a linear equation which satisfies this data. (You many take their contributions as $Rs.x$ and $Rs.y$.) Draw the graph of the same.

Answer 1

$x$	$0$	$50$	$100$
$y$	$100$	$50$	$0$

Let the contribution of Yamini be $x$ and that of Fatima be $y$.

According to problem, $x+y=100$ ...(1)

Now , putting the value $x=0$ in (1)

$0+y=100$

$y=100$

So, the solution is $(0,100)$

Putting the value $x=50$ in (1)

$50+y=100$

$y=100–50$

$y=50$

So, the solution is $(50,50)$

Putting the value $x=100$ in (1)

$100+y=100$

$y=100–100$

$y=0$

So, the solution is $(100,0)$