Question

Gabrielle went shopping for new school clothes. After spending $65.50 on shirts, she picked out a pair of pants that put her over her $100 budget.
Let x represent the cost of the pants. Which inequality describes the problem?
Solve the inequality. Then, complete the sentence to describe the solution.
The pants cost more than

Answer 1

To represent the problem with an inequality, we can start by setting up the equation based on Gabrielle's budget. She spent $65.50 on shirts, and she can only spend a total of $100. If we let \( x \) represent the cost of the pants, the inequality can be set up as follows:

\[ 65.50 + x > 100 \]

Now, let’s solve the inequality:

1. Subtract $65.50 from both sides:

\[
x > 100 - 65.50
\]

2. Calculate the right side:

\[
x > 34.50
\]

Thus, the inequality describing the problem is:

\[ 65.50 + x > 100 \]

And the solution indicates:

The pants cost more than **$34.50**.