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 Rs. 1000 at hostel charges whereas a student B,who takes food for 26 days pays Rs 1180 as hostel charges. find the fixed charges and the cost of food per day.​

Answer 1

Step-by-step explanation:

Let the fixed charged be 'x' and the cost of food per day is 'y'.

(i)

A takes food for 20 days she has to pay 1000.

x + 20y = 1000

(ii)

B takes food for 26 days, pays rs 1180.

x + 26y = 1180

On solving (i) & (ii), we get

x + 20y = 1000

x + 26y = 1180

-----------------------

     -6y = -180

       y = 30

Substitute y = 30 in (ii), we get

⇒ x + 26y = 1180

⇒ x + 26(30) = 1180

⇒ x + 780 = 1180

⇒ x = 1180 - 780

⇒ x = 400

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

Answer 2

Step-by-step explanation:

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