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 charges and the
cost of food per day.
Answers
Answer:
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Step-by-step explanation:
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Answer:
Fixed charge=400 Rs
Cost of food per day=30 Rs
Step-by-step explanation:
Let the fixed charge be 'x'.
Let the cost of food per day be 'y'.
Given: x+20y=1000........(i)
x+26y=1180.........(ii)
By Elimination method,
Subtracting (i) from (ii)
x+26y-x-20y=1180-1000
6y = 180
⇒ y = 30
Substituting the value of y in (i)
x+20y = 1000
x+20(30) = 1000
x+600 = 1000
⇒ x = 400
∴The Fixed Charge = Rs.400
Cost of food per day= Rs.30