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

A. [tex]\(1.6n \geq 56\)[/tex]
B. [tex]\(1.6n \leq 56\)[/tex]
C. [tex]\(56n \leq 1.6\)[/tex]
D. [tex]\(56n \geq 1.6\)[/tex]

Sagot :

GinnyAnswer
To determine the maximum number of notebooks Cheryl can buy with her [tex]$56, we need to construct an inequality that relates the total cost of the notebooks to the amount of money she has. 1. Cheryl's total amount of money is $[/tex]56.

2. Each notebook costs [tex]$1.60. 3. Let \( n \) represent the number of notebooks Cheryl can buy. The total cost of \( n \) notebooks is given by the product of the number of notebooks and the cost per notebook, which is \( 1.60 \times n \). For Cheryl to stay within her budget, the total cost of the notebooks must be less than or equal to her total money: \[ 1.60 \times n \leq 56 \] Therefore, the inequality that represents the maximum number of notebooks Cheryl can buy with her $[/tex]56 is:
[tex]\[ 1.6 n \leq 56 \][/tex]

So, the correct answer is:
[tex]\[ 1.6 n \leq 56 \][/tex]
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