Question

A concert venue wants to make at least $2,625.00​ profit for their Saturday night show. Adult tickets cost $10.00,​ and children’s tickets cost $5.00​. The venue can seat up to0350​ people. Find three combinations of adult and children’s tickets that will make the profit goal and not be more than 350350​ total people. Enter your answer as ordered pairs (A,C)​ separated by a comma where AA​ is the number of adult tickets sold and CC​ is the number of children’s tickets sold.

Answer 1

Answer:(175, 0), (150, 25), (125, 50)

Explanation:

The profit from selling an adult ticket is $10.00 and the profit from selling a children's ticket is $5.00, so the profit from selling one of each is $10.00 + $5.00 = $<<10+5=15.00>>15.00.

To make a profit of $2,625.00, the venue must sell at least 2,625 / 15 = <<2625/15=175>>175 tickets.

Since the venue can seat up to 350 people, we want to find combinations of adult and children's tickets that total 175 or more tickets and no more than 350 tickets.

One combination is (175, 0), which means 175 adult tickets and 0 children's tickets were sold.

Another combination is (150, 25), which means 150 adult tickets and 25 children's tickets were sold.

Yet another combination is (125, 50), which means 125 adult tickets and 50 children's tickets were sold.

Therefore, the answer is (175, 0), (150, 25), (125, 50).