# Chapter 3 - Solving Inequalities - 3-3 Solving Inequalities Using Multiplication or Division - Practice and Problem-Solving Exercises - Page 183: 61

D. $640$

#### Work Step by Step

$\frac{1}{4}s\geq160$ We know that there were 160 students chosen and that is no more than $\frac{1}{4}$ of the total number of students, so in the inequality, we will use s as the total number of students, and we know that $\frac{1}{4}s$ must be greater than or equal to 160 because of the phrase "no more than." Multiply both sides by 4: $\frac{1}{4}s\times4=160\times4$ Simplify: $s\geq640$ $-\frac{12y}{-12}=\frac{24}{-12}$This means that the number of students at Renee's school is at least 640, since the number of students, s is greater than or equal to 640. So our answer is 640 students.

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