Question

Question 7
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 may take their contributions as Rs x and Rs y.) Draw the graph of the same.

Answer 1

Let the contribution amount by Yamini be x and contribution amount by Fatima be y.
According to statement,
x + y = 100
When x = 0, y = 100
When x = 50, y = 50
When x = 100, y = 0
$\begin{array}{cccc}x& 0& 50& 100\\ y& 100& 50& 0\end{array}$

Here, it can be seen that variable x and y are representing the amount contributed by Yamini and Fatima respectively and these quantities cannot be negative.
Hence, only those values of x and y which are lying in the $1^{st}$ quadrant will be considered.