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Mary is buying tickets for a movie. Each adult tickets costs $9. Each child ticket costs $5. Mary spends $110 on tickets. Mary buys 14 total tickets.

Respuesta :

Answer:

Adult = 10 tickets

Child = 4 tickets

Step-by-step explanation:

(I assume that the question is the total number of tickets for each type)

Let:

  • the total number of adult ticket = a
  • the total number of child ticket = c

Then:

  • the total amount spent on adult ticket = a × $9 = $9a
  • the total amount spent on child ticket = c × $5 = $5c

"Mary spends $110 on tickets." means:

adult amount + child amount = total amount

$9a + $5c = $110

9a + 5c = 110 ... [1]

"Mary buys 14 total tickets." means:

adult tickets + child tickets = total tickets

a + c = 14 ... [2]

[1] & [2]

9a + 5c = 110    ⇔  9a + 5c = 110

a + c = 14          ⇔  5a + 5c = 70

                             --------------------- (-)

                                      4a = 40

                                        a = 10 tickets

[1]

a + c = 14

10 + c = 14

c = 4 tickets

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