Question

A part of monthly hostel charges in a collage is fixed and remaining depends on the
number of days one has taken food from the mess. When a student A takes food for 25 days he has to pay Rs. 1750 as hostel charge, whereas a student B, who takes food for 28 days pays Rs. 1900 as hostel charge. Find the fixed charge and the cost of food per day. Pls help

Answer 1

Answer:

fixed charges = y (in rupees) and the cost of food per day = x (in rupees).

Now, A takes food for 20 days and pays Rs. 1000.

That is, 20x+y=1000 .................(1)

Also, B takes food for 26 days and pays Rs. 1180.

That is, 26x+y=1180 ..................(2)

Subtracting (1) from (2), we get,

6x=180

i.e. x =30

Substitute x=30 in (1), we get,

20(30)+ y=1000

i.e. 600 +y=1000

i.e. y = 400

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