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klio [65]
3 years ago
6

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

Mathematics
1 answer:
jolli1 [7]3 years ago
8 0

Answer:

  • 30 adult tickets,
  • 50 kids tickets

Step-by-step explanation:

<u>Given</u>

  • 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

<u>We got equations</u>

  • a + k = 80
  • 8.5a + 7k = 605

<u>From the first equation we get</u>

  • k = 80 -a

<u>Substituting k in the second equation</u>

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

<u>Then finding k</u>

  • k = 80 - 30 = 50

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