Question

A part of monthly hostel charges is fixed and the remaining depends on the number of days one has taken food in tamil when a student a text for a food 20 days and has to pay rupees 1000 as hostel charges well as student be who takes food for 26 days payrupees 1180 at the hostel charges fees charged

Answer 1

let the fixed hostel charges be x Rupee's
one day food charges be y Rupee's

A.T.Q.

x+20y= 1000 ...eq1

x+26y=1180 ...eq2

subtract both equations

-6y = -180

y=180/6=30 Rupee's

So,

x+20(30)=1000

x=1000-600

x=400 Rupee's

fixed charge of hostel is 400 Rupee's

one day food charges is 30 rupees.

Hope it helps you.

Answer 2

let the hostel fixed charge be x rs.

and daily food charge be y rs per day

now ,

first condition , x +20y =1000

x = 1000 - 20 y -------- ( 1 )

also by second condition , x + 26 y = 1180
x = 1180 - 26 y. ------- ( 2 )


from 1 and 2 we get

1000 - 20y = 1180 - 26y

26 y - 20 y = 1180 - 1000

6y = 180

y = 30

putting this in eq 1

x = 1000 - 20 ×30
x = 1000 - 600

x = 400 rs

so fixed charge is 400 rs and daily charge is 30 rs