Question

Some people collected money to be donated in two Old Age Homes. A part of the donation is
fixed and remaining depends on the number of old people in the home. If they donated `
14,500 in the home having 60 people and ` 19,500 with 85 people, find the fixed part of
donation and the amount donated for each people. What is the inspiration behind
this ?

Answer 1

let fixed amount be x and variable amount be y
now we can form equation x+60y =14500 be 1st equation and x+85y=19500 be 2nd equation
now converting first equation that is x+60y=14500
x=14500-60y .now subsitute this x value in equation 2 for obtaining y..
14500 - 60y + 85y =19500
y=5000/25 =200 is variable amount
now subsitute y value in x=14500-60y to obtain x
therefore x=14500-60(200)=2500 is the fixed amount..

Answer 2

Answer:

please refer to the attached image

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