A lending library has a fixed charge for the first two days and an additional charge for each day thereafter. Mohini paid rupees25 for a book and kept for a week. If fixed charges are rupeesX and per day charge is rupeesY, write a linear equation representing this situation and hence find the per day charge if fixed charge is rupees5.
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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