Question

Some people collected money to be donated in two Old Age Homes. A point part of the donation is fixed and remaining depends on the number of old people in the home. If they donated $Rs14,500$ in the home having $60$ people and $Rs19,500$ with $85$ people, find the fixed part of donation.

Answer 1

let fixed amount be x & variable be y

now we can from equation

$x+60y=14500$ __ (1)

$x+85y=19500$ __ (2)

$\therefore$ equation (2) - (1)

$x+85y=19500$

$x+60y=14500$

_______________

$25y=5000$

$y=200$

$\to$ Put value of y in equation (1)

$x+60\times 200=14500$

$x=14500-12000$

$x=2500$ Ans