Question

Form the pair of linear equations in the following problems and find their solutions (if they exist) by any algebraic method: 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 charge and the cost of food per day.

Answer 1

Step-by-step explanation:

Let,

Fixed charges= RS x

Charge incurred for one day= RS y

Now, According to the question,

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

x+26y=1180..........2

Subtracting equation 2 from 1,

-6y=-180

or,y=30

x=400

Fixed charges= RS 400 and charge for one day=RS 30

Answer 2

Answer:

fixed charges=Rs.400

charge for one day =Rs.30