Question

A lending library has a fixed charge for the first three days and an additional charge for each day thereafter. Saritha paid Rs.27 for a book kept for seven days, while Susy paid Rs.21 for the book she kept for five days. Find the fixed charge and the charge for each extra day.

Answer 1

Answer:

Let the fixed charge be Rs. x

and the extra charge be Rs.

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Answer 2

Step-by-step explanation:

Also,

Susy paid Rs 21 for a book kept for five days

Fixed charge for first three days

= Rs 21

+ (Number of additional days kept) x (Additional charges per day)

X + (5-3) y = 21

X + 2y = 21

.(2)

We use elimination method with equation (1) & (2)

+ 4y = 27

* + 2y = 2

2y

= 6

2y = 6

y =

y = 3

Putting y = 3 in equation (2)

X + 2y = 21

x + 2(3) = 21

X + 6 = 21

x = 21 - 6

x = 15

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Hence, x = 15, y = 3 is the solution of the equations