Question

A lending library has a fixed charge for the first three days and an additional charge for each extra days. Sarita paid Rs. 27 for a book kept for 7 days, while Susy paid Rs. 21 for the book kept for 5 days. Write only two required equations for finding the fixed charge and the charge for each extra day.​

Answer 1

Answer:

first 3 days 5rs each, after which 3rs each

Step-by-step explanation:

a+4d=27

a+2d=21

on solving we get

d=3

and a=15

but as we took a=3days so

charges of first 3 days is 5 RS per day

and which per day charge is 3 RS

Answer 2

ANSWER

Let the fixed charge for 3 days =x and additional charge =y

According to the question

⇒x+4y=27....eq1

⇒x+2y=21....eq2

Subtract eq1 and eq2

⇒(3x+4y=27)−(3x+2y=21)⇒2y=6⇒y=3

put y=3 in eq1

⇒x+4×3=27⇒x=15

Fixed charges = Rs. 15

The charge for each extra day = Rs. 3

Hope it will helps you ☺️