Question

I NEED TO GET DONE IN 10 MINUTES! HELP!

Write the system of inequalities for the scenario below.

Your family has a maximum of $30 to spend on snacks at the movies. It costs $6 per tub of popcorn and $2 per candy bar. Your family wants no more than 5 snacks.

Answer 1

The system of inequalities is 6x + 2y ≤ 30 and x + y ≤ 5.

Step-by-step explanation:

To write the system of inequalities for this scenario, we need to define variables for the number of tubs of popcorn and the number of candy bars.

Let x represent the number of tubs of popcorn and y represent the number of candy bars. The constraints are as follows:

1. The total cost of snacks should be less than or equal to $30, so the inequality is 6x + 2y ≤ 30.
2. The family wants no more than 5 snacks, so the total number of snacks should be less than or equal to 5, so the inequality is x + y ≤ 5.

Therefore, the system of inequalities is:

6x + 2y ≤ 30

x + y ≤ 5