Jacque needs to buy some pizzas for a party at her office. She’s ordering
from a restaurant that charges a delivery fee and per pizza. She
wants to buy as many pizzas as she can, and she also needs to keep the
delivery fee plus the cost of the pizzas under .
Each pizza is cut into 8 slices, and she wonders how many total slices she
can afford.
Let represent the number of pizzas that Jacque buys.

Which inequality describes this scenario?
Choose 1 answer:
(A)
B
©
(D)

What is the largest number of slices that Jacque can afford?
slices
Show Calculator
( 14

Ask by Morrison Tyler. in the United States

Mar 19,2025

Question

Jacque needs to buy some pizzas for a party at her office. She’s ordering
from a restaurant that charges a delivery fee and per pizza. She
wants to buy as many pizzas as she can, and she also needs to keep the
delivery fee plus the cost of the pizzas under .
Each pizza is cut into 8 slices, and she wonders how many total slices she
can afford.
Let represent the number of pizzas that Jacque buys.

Which inequality describes this scenario?
Choose 1 answer:
(A)
B
©
(D)

What is the largest number of slices that Jacque can afford?
slices
Show Calculator
( 14

Ask by Morrison Tyler. in the United States

Mar 19,2025

UpStudy AI · Accepted Answer

1) We first write an inequality for the total cost. The delivery fee is $$\$7.50$$ and each pizza costs $$\$14$$. If Jacque buys $$ P $$ pizzas, the total cost is

$$
7.50 + 14P.
$$

Since the total must be under $$\$60$$, we have

$$
7.50 + 14P < 60.
$$

Thus, the correct answer is (A) $$\,7.50+14P<60$$.

2) To find the largest number of pizzas Jacque can buy, solve the inequality:

$$
7.50 + 14P < 60.
$$

Subtract $$7.50$$ from both sides:

$$
14P < 52.50.
$$

Divide both sides by $$14$$:

$$
P < \frac{52.50}{14} \approx 3.75.
$$

Since $$P$$ must be a whole number, the maximum value is $$P = 3$$.

Each pizza has $$8$$ slices, so the total number of slices is:

$$
3 \times 8 = 24.
$$

Thus, Jacque can afford a maximum of $$24$$ slices.
1) The inequality that describes the scenario is $$7.50 + 14P < 60$$. 2) Jacque can afford a maximum of 24 slices.

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