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?

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.

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ApusApus ApusApus · Answer 2 · 2019-03-09T12:59:49+01:00

Answer:

[tex]1.60n\leq 56[/tex]

Step-by-step 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:

[tex]1.60n\leq 56[/tex]

Therefore, the inequality [tex]1.60n\leq 56[/tex] 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.

[tex]\frac{1.60n}{1.60}\leq\frac{56}{1.60}[/tex]

[tex]n\leq 35[/tex]

Therefore, Cheryl can buy at-most 35 books.