Question

Debbie works in a warehouse and uses a cart to move boxes. She is loading the cart with boxes that each weigh 15 pounds. The cart has a weight limit of 330 pounds.
Let x represent how many boxes Debbie can load onto the cart without exceeding the weight limit. Which inequality describes the problem?
Solve the inequality. Then, complete the sentence to describe the solution.
Debbie can load at most boxes on the cart without exceeding the weight limit.

Answer 1

To represent the problem using an inequality, we can set up the following:

Each box weighs 15 pounds, and if \( x \) represents the number of boxes, the total weight of the boxes can be expressed as \( 15x \). The cart has a weight limit of 330 pounds. Thus, the inequality that describes the problem is:

\[ 15x \leq 330 \]

Next, we will solve this inequality for \( x \):

1. Divide both sides of the inequality by 15:

\[
x \leq \frac{330}{15}
\]

2. Calculate \( \frac{330}{15} \):

\[
\frac{330}{15} = 22
\]

So the solution to the inequality is:

\[ x \leq 22 \]

This means that Debbie can load at most 22 boxes onto the cart without exceeding the weight limit.

**Complete the sentence:**

Debbie can load at most 22 boxes on the cart without exceeding the weight limit.