Question

Jacque needs to buy some pizzas for a party at her office. She's ordering from a restaurant that charges a \$7.50$7.50dollar sign, 7, point, 50 delivery fee and \$14$14dollar sign, 14 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 \$60$60dollar sign, 60. Each pizza is cut into 888 slices, and she wonders how many total slices she can afford. Let PPP represent the number of pizzas that Jacque buys.

Answer 1

Jacque can buy a maximum of 3 pizzas and she can afford a total of 24 slices.

Step-by-step explanation:

To find out how many pizzas Jacque can buy, we need to set up an inequality. Let's represent the number of pizzas she buys as P. The cost of the pizzas will be 14P, and the delivery fee will be $7.50. The total cost she can afford is $60. So, we can write the inequality as: 14P + 7.50 ≤ 60.

To solve this inequality, we first subtract 7.50 from both sides: 14P ≤ 52.50. Then, divide both sides by 14 to isolate P: P ≤ 3.75.

Since the number of pizzas must be a whole number, Jacque can buy a maximum of 3 pizzas. Each pizza has 8 slices, so she can afford a total of 3 x 8 = 24 slices.