Question

A part of monthly hostel charges is fixed and the remaining depends on the number of days one has taken food in the mess. When a student A takes food for 20 days she has to pay ₹ 1000 as hostel charges, whereas a student B, who takes food for 26 days, pays ₹ 1180 as hostel charges. Find the fixed charges and the cost of food per day. Form the pair of linear equations and find these solutions by substitution method.
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Answer 1

Answer:

let the fixed charge be x and remaining charge be y

Case.(i)

x+20y=1000(-i)

case.(ii)

x+2

x6y=1180-ii

x=1180-26y

substituting x=1180-26y in Eq(-i)

1180-26y+20y=1000

-26y+20y=1000-1180

-6y=-180

y=-180/-6

y=30

put y=30 in eq(i)

x+20(30)=1000

x+600=1000

x=1000-600

x=400

x=400, y=30