A lending library has a fixed charge for the first three days and an additional charge for each day thereafter.

Question:

A lending library has a fixed charge for the first three days and an additional charge for each day thereafter. Aarushi paid Rs 27 for a book kept for seven days. If fixed charges are Rs x and per day charges are Rs y. Write the linear equation representing the above information. 

Solution:

Total charges of Rs 27 of which Rs x for first three days and Rs y per day for 4 more days is given by x + y (7 – 3) = 27

x + 4y = 27

Here, (7 - 3) is taken as the charges for the first three days are already given at Rs x and we have to find the charges for the remaining four days as the book is kept for the total of 7 days. 

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