Sophie is purchasing buffalo wings and hot dogs for a Super Bowl party at her house, and she wants to spend under $66. A package of hot dogs costs $2, while a package of buffalo wings costs $5.

Question

Write the inequality in standard form that describes this situation. Use the given numbers and the following variables.
x = the number of packages of hot dogs
y = the number of packages of buffalo wings

Answer 1

To formulate the inequality that describes Sophie's spending on packages of hot dogs and buffalo wings, we can use the following variables:

• Let \( x \) represent the number of packages of hot dogs.
• Let \( y \) represent the number of packages of buffalo wings.

Given the costs:

• Each package of hot dogs costs $2, which contributes \( 2x \) to the total cost.
• Each package of buffalo wings costs $5, which contributes \( 5y \) to the total cost.

Sophie wants to spend under $66. This leads us to the inequality that represents her budget:

\[ 2x + 5y < 66 \]

This is the inequality in standard form representing Sophie's situation regarding the purchase of hot dogs and buffalo wings.