Question

A lending library has a fixed charge for the first three days and an additional charge for each
day thereafter. Sita paid Rs 12 for a book kept for five days, while Rita paid Rs 18 for the
book she kept for eight days. Find the fixed charge and the charge for each extra day??????​

Answer 1

Answer:

answer is in picture .

fixed charge is 8 and additional is 2

Answer 2

Step-by-step explanation:

Let the fixed charge be x

and let the charge for each extra day be y

1st condition -

-> fixed charge for 3 days + number of extra days  × charge for each extra day = 12

x + (5-3)y = 12

x + 2y = 12 - 1st equation

2nd condition -

-> fixed charge for 3 days + number of extra days  × charge for each extra day = 18

x + (8-3)y = 18

x + 5y = 18 - 2nd equation

Using elimination method to solve for the two equations...

x + 2y = 12

(-)x + (-)5y = (-)18

      - 3y = -6

          y = 6/3

          y = 2

Substitute value of y in eq 1

x + 2y = 12

      x = 12 - 2y

      x = 12 - 2(2)

      x = 12 -4

      x = 8

      y = 2

Therefore, the fixed charge is Rs. 8 and the charge for each extra day is Rs. 2

Hope you got what you wanted :)