Question

directions: solve each problem using an inequality

1. a gym teacher placed golf balls into 9 buckets so that each bucket had at least 15 balls. how many total golf balls are there?

inequality\tsolution

Explanation:

Step1: Define the variable and inequality

Let \( x \) be the total number of golf balls. Since there are 9 buckets and each has at least 15 balls, the inequality is \( \frac{x}{9} \geq 15 \) (because the average per bucket is total divided by number of buckets, and it needs to be at least 15).

Step2: Solve the inequality

Multiply both sides by 9: \( x \geq 15 \times 9 \)
Calculate \( 15 \times 9 = 135 \). So \( x \geq 135 \).

Answer:

The total number of golf balls is at least 135, so the solution to the inequality \( \frac{x}{9} \geq 15 \) is \( x \geq 135 \).