Question

Sofia wants to order 6 pizzas for a party and wants to have exactly 2 toppings for each of the 6 pizzas. Each additional topping costs $2.15. If Sofia spends at least $75, she will receive free delivery on her order. Write and solve an inequality to find how much each pizza needs to cost in order for Sofia to receive free delivery.

a) 11.25
b) 12.00
c) 12.75
d) 13.50

Answer 1

Each pizza needs to cost at least $8.20 in order for Sofia to receive free delivery.

Step-by-step explanation:

We can set up an inequality to find how much each pizza needs to cost in order for Sofia to receive free delivery. Let's define the cost of each pizza as x. Since Sofia wants exactly 2 toppings for each pizza, the cost of 2 toppings for each pizza is $2.15 * 2 = $4.30. So the cost of each pizza will be x + $4.30.

Since Sofia wants to order 6 pizzas, the total cost will be 6 * (x + $4.30). In order to receive free delivery, the total cost needs to be at least $75. So, we can write the following inequality:

6 * (x + $4.30) ≥ $75

Simplifying the inequality, we get:

6x + $25.80 ≥ $75

Subtracting $25.80 from both sides of the inequality, we have:

6x ≥ $49.20

Dividing both sides of the inequality by 6, we get:

x ≥ $8.20

Therefore, each pizza needs to cost at least $8.20 in order for Sofia to receive free delivery.