Question

a library has a fixed charge for at first three days and additional charge for each days there after Savita pe27 rupees for a book cab for 7 days while Anita paid 21 rupees for the book a cab for 5 days find the final fixtures and and charge of each extra days​

Answer 1

Answer:

Let the fixed charge for first three days and each day charge thereafter be:

$\huge\boxed{\sf{Rs.\:x\:and\:Rs.\:y}}$

According to the question:

$\implies$ x + 4y = 27 ... (i)

$\implies$ x + 2y = 21 ... (ii)

Subtracting equation (ii) from equation (i),

We get:

$\implies$ 2y = 6

$\implies$ y = 3 ... (iii)

Putting in equation (i),

We get:

$\implies$ x + 12 = 27

$\implies$ x = 27 - 12

$\implies$ x = 15

Hence:

Fixed charge = Rs. 15

Charge per day = Rs. 3