Question

A lending library has a fixed charge for the first three days and an additional

charge for each day thereafter. Saritha paid ₹ 55 for a book kept for seven

days, while Susy paid ₹35 for the book she kept for five days. Find the fixed

charge and the charge for each extra day.​

Answer 1

Let the fixed charge be x and extra charge be y.

According to question...

 3x+4y=55------------1

 3x+2y=35 -----------2

-      -        -

----------------------------

0+2y=20

 y=10

subtitute the value of y in eq.1, we get

3x+40=55

3x=15

x=3

therefore fixed charge is ruppes 3 and extra charge be rupees 10..

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Answer 2

Answer:

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

Explanation:

Hope it helps