Question

Cheryl has $56 and wants to buy as many notebooks as she can to donate to her school. If each notebook costs $1.60, which inequality shows n, the maximum number of notebooks she can buy with her money?

Answer 1

If Cheryl has $56 she can buy 35 notebooks at $1.60 each. You can set this up in equation form as 56 = 1.60 x N where N represents the number of notebooks.

Answer 2

`1.60n\leq 56`

Explanation:

Let n represent the number of notebooks.

We have been given that Cheryl has $56 and wants to buy as many notebooks as she can to donate to her school.

Each notebook costs $1.60, so the cost of n books will be 1.60n.

As Cheryl can spend only $56 on books, this means cost of n books should be less than or equal to 56. We can represent this information in an equation as:

`1.60n\leq 56`

Therefore, the inequality
`1.60n\leq 56` represents the maximum number of notebooks she can buy with her money.

Let us solve for n by dividing both sides of our equation by 1.60.

`(1.60n)/(1.60)\leq(56)/(1.60)`

`n\leq 35`

Therefore, Cheryl can buy at-most 35 books.