Gina is having a party and wants to spend less than $550. She has already spent $400. The only item left on her list is pizzas, which cost $15 each.

Question

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.
x < 37
B.
x < 135
C.
x < 27
D.
x < 10

Answer 1

To determine how many pizzas Gina can buy while staying under her budget, we start by setting up the inequality based on her budget constraints.

Gina has a budget of less than $550 and has already spent $400. This means she has:

\[ 550 - 400 = 150 \text{ dollars left.} \]

Let \( x \) represent the number of pizzas that Gina can buy. Since each pizza costs $15, the total cost for \( x \) pizzas would be \( 15x \). The inequality that represents her spending on pizzas is:

\[ 15x < 150. \]

Now, we can solve this inequality for \( x \):

1. Divide both sides by 15:

\[ x < \frac{150}{15}. \]

2. This simplifies to:

\[ x < 10. \]

Thus, the largest number of pizzas Gina can purchase while staying under her budget is:

D. \( x < 10 \).