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.

Answer 1

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, $(7-3)=4$ 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 a total of $7$ days.