Question

For a Saturday matinee, adult tickets cost $8.50 and kids under 12 pay only $7.00. If 80 tickets are sold for a total

of $605, how many of the tickets were adult tickets and how many were sold to kids under 12?

Answer 1

• 30 adult tickets,
• 50 kids tickets

Explanation:

Given

• Cost of adult ticket = $8.50
• Cost of kids ticket = $7.00
• Number of tickets = 80
• Total cost = $605

Let the adult ticket be a and kids be k

We got equations

• a + k = 80
• 8.5a + 7k = 605

From the first equation we get

• k = 80 -a

Substituting k in the second equation

• 8.5a + 7(80 - a) = 605
• 8.5a - 7a + 560= 605
• 1.5a = 45
• a = 45/1.5
• a = 30

Then finding k

• k = 80 - 30 = 50