Question

Derek has $20 to spend on used books, but he can not spend all $20.Hardcover books cost $5 each and paperbacks cost $2 each. Create aninequality which determines the number (x) of hardcover books and the number(y) of paperback books he can buy.

Answer 1

Given:

The amount to spend on books, T=$20.

The cost of a handcoverbook, m=$5.

The cost of a paperback, n=$2.

Let x be the number of handcover books and y be the number of paperback books.

It is said that the complete amount of $20 cannot be spend.

So, the inequality to determine x and y can be written as,

`\begin{gathered} T>mx+ny \\ 20>5x+2y \end{gathered}`

So, the inequality is 20>5x+2y.