Maths-
General
Easy

Question

You can rent books at a local store for $5.00 each. An Internet company offers a flat fee of $20.00 per month for as many books as you want. How many books do you need to rent to make the online rental a better buy?

The correct answer is: We need to rent more than 4 books to make the online rental a better buy


    Hint:-
    Total cost of renting = number of books * Rate per book.
    Step-by-step solution:-
    Let the number of books to be bought in a month be x.
    ∴ Total cost incurred for renting at local store = Number of books * cost per book
    ∴ Total cost incurred for renting at local store = x * $5 ..................................................... (From given information)
    ∴ Total cost incurred for renting at local store = 5x ........................................................... (Equation i)
    Also,
    Total cost incurred on internet company for a month = $20 .................. (From given information) ..................... (Equation ii)
    We need to find the number of books to be rented to make the online rental a better buy.
    i.e. we need to find the value of x for which-
    Cost incurred at local store > Cost incurred on online rental
    ∴ 5x > 20 ...................................................................................... (From Equations i & ii)
    ∴ x > 20/5 .................................................................................. (Dividing both sides by 5)
    ∴ x > 4
    Final Answer:-
    ∴ We need to rent more than 4 books to make the online rental a better buy.

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