A theater wants to take in at least $2000 for the matinee. Children's tickets cost $5 each and adult tickets cost $10 each. The theater can seat up to 350 people. Find five combinations of children and adult tickets that will make the $2000 goal

Step-by-step explanation:

Let x represent the number of children tickets that the theatre can sell.

Let y represent the number of adult tickets that the theatre can sell.

The theater can seat up to 350 people. This means that

x + y ≤ 350

Children's tickets cost $5 each and adult tickets cost $10 each.

The theater wants to take in at least $2000 for the matinee. This means that

5x + 10y ≥ 2000 - - - - - - - - -1

Substituting x = 350 - y into equation 1, it becomes

5(350 - y) + 10y ≥ 2000

1750 - 5y + 10y ≥ 2000

5y ≥ 2000 -1750

y ≥ 250/5

y ≥ 50

Substituting y = 50 into x + y ≤ 350, it becomes

x ≤ 350 - 50

x ≤ 300

The ticket combinations are

1) 300 children tickets, 50 adult tickets

2)250 children tickets, 100 adult tickets

3)200 children tickets, 150 adult tickets

4) 150 children tickets, 200 adult tickets.

5) 100 children tickets, 250 adult tickets

the answer is c.

step-by-step explanation:

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