Question

#4 Devonte is throwing a party to watch the Stanley Cup Finals. He orders pizza that cost $11 each and cartons of wings that cost $9.99 each. With at least 34 people coming over, Devonte spends at least $72.96 and orders a minimum of 7 pizzas and cartons of wings. Part A. Write a system of inequalities that describes this situation. Part B. Graph the solution set and determine a possible number of pizza and cartons of wings he ordered for his party.​

Answer 1

The system of inequalities is11p + 9.99w ≥ 72.96, p ≥ 7 and w ≥ 7

A possible number of pizza and cartons of wings he ordered for his party is 10 each

Write a system of inequalities that describes this situation.

Let p represent the pizzas and w, the wings

Devonte spends at least $72.96:

So, we have

11p + 9.99w ≥ 72.96

Devonte orders at least 7 pizzas:

So, we have

p ≥ 7

Devonte orders at least 7 cartons of wings

So, we have

w ≥ 7

Hence, the system of inequalities is11p + 9.99w ≥ 72.96, p ≥ 7 and w ≥ 7

The graph is attached and a possible solution is (10, 10)