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Pair of Linear Equations in Two Variables
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28/05/2021 10:18 am
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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 as 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.
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28/05/2021 10:19 am
Let x be the fixed charge and y be the charge of food per day.
According to the question,
x + 20y = 1000……………….. (i)
x + 26y = 1180………………..(ii)
Subtracting (i) from (ii) we get
6y = 180
y = Rs.30
Using this value in equation (ii) we get
x = 1180 -26 x 30
x= Rs.400.
Therefore, fixed charges is Rs.400 and charge per day is Rs.30.