Question

Gina is having a party and wants to spend less than $665. She has already spent $500. The only item left on he list is pizzas, which cost $15 each

How many pizzas, x, can she purchase and stay under her budget? Select the inequality that includes the largest number of pizzas
she can purchase and still stay under her budget?
A.x33
В.x 44
C.X 11
D. x150

Answer 1

Gina can spend less than $165 on pizzas at $15 each to stay under her total budget of $665. Solving the inequality 15x < 165, we find she can buy fewer than 11 pizzas.

Step-by-step explanation:

The student's question is centered around solving an inequality problem based on a budget. Gina wishes to stay under her budget of $665 for her party, having already spent $500. Each pizza costs $15, so we set up an inequality to determine the maximum number of pizzas she can purchase without exceeding her budget. The inequality representing this scenario is:

500 + 15x < 665

To find the maximum number of pizzas Gina can buy, we can solve for x:

1. Subtract $500 from both sides of the inequality: 15x < 665 - 500
2. 15x < 165
3. Divide both sides by 15: x < 165/15
4. x < 11

Therefore, Gina can buy fewer than 11 pizzas. So, the largest number of pizzas (whole pizzas) she can buy and still stay within her budget is 10.

Answer option C, which presents "x < 11", includes the largest number of pizzas Gina can purchase while staying under her budget. Hence, the correct inequality to choose is x < 11.