Question

Heya ❤

A part of monthly hostel charges in the college is fixed and the remaining depend on the number of days one has taken food in the mess.when a student Esha takes food for 20days, she has to pay rs 1000 as hostel charges, whereas a student Nisha who takes food for 28 day pay rs 1240 as hotel charges. find the fixed charge and cost of food per day.

Answer 1

Hey,

let the fixed chargebe 'x' and and the cost of food per day be y.

According to the question,

x + 20y = 1000 ----------------(1)
x + 26y = 1180 ------------(2)

By the elemination method,

  x + 20y = 1000
  x + 26y = 1180 

__-__-______-__________
  -6y = -180

  ...  6y = 180

  =>   y = 180/6

  =>   y = 30

And, substituting the value of y in eq. (1), we get,

  =>   x  + 20 * 30 = 1000

  =>   x  = 1000- 600

  =>   x  = 400

Hence, the fixed charge is Rs. 400 and cost of the food per day is Rs. 30

HOPE IT HELPS:-))

Answer 2

1. let the fixed charge be x

let the charge of food per day be y

according to question,

x+20y=1000....................................{1}

x+28y=1240....................................{2}

solving {1} and {2} we get,

20y-28y=1000-1240

-8y=-240

y=240/8

y=30

putting the value of y in {1} we get the value of x,

x+20y=1000

x+20×30=1000

x=1000-600

x=400

hence the fixed charge is rs 400 and cost of food per day is 30