CPM Homework Help : A2C Problem 9-109

The management of the Carnival Cinema was worried about breaking even on their movie “Elvis Returns from Mars.” To break even, they had to take in $$5000$ on the matinee. They were selling adult tickets for $$8.50$ and children's tickets for $$5.00$ . They knew they had sold a total of $685$ tickets. How many of those tickets would have to have been adult tickets for them to meet their goal?

Hint:

Create a system of equations and solve.

More Help:

Where a = number of adult tickets sold and c = number of children's tickets sold:
$8.5a + 5c = 5000$
$a + c = 685$

Answer:

They would need to sell at least $450$ adult tickets.