Question

a part of monthly hostel charges is fixed and the remaining depends on the number of days one has to take food in the mess .when a student A takes food for 20 days she has to pay rs 1000 as hostel charges. whereas a student B ,who takes Food for 26 days ,pays rs 1180 as hostel charges . find the fixed charges and cost of food per day ​

Answer 1

Answer in below pic

Please mark as brillianist

Answer 2

Step-by-step explanation:

Let x be the fixed charge of the food and y be the charge for food

per day.

According to the given information,

x + 20y = 1000 (1)

x + 26y – 1180 (2)

Subtracting equation (1) from equation (2), we obtain

6y = 180

y = 30

Substituting this value in equation (1), we obtain

x + 20 × 30 = 1000

x = 1000 – 600

x = 400

Hence, fixed charge = Rs 400

And charge per day = Rs 30