The ball game took in $1,666 one Saturday. The number of $12 adult tickets was 18 more than twice the number of $5 child tickets. How many of each were sold?
child tickets
adult tickets
, please help

Respuesta :

9514 1404 393

Answer:

  • 50 child tickets
  • 118 adult tickets

Step-by-step explanation:

Let c represent the number of child tickets sold. Then the number of adult tickets is 18+2c, and the total revenue is ...

  5c +12(18+2c) = 1666 . . . . . total of (ticket price)×(number of tickets)

  29c +216 = 1666 . . . . . . . . simplify

  29c = 1450 . . . . . . . . . . . subtract 216

  c = 50 . . . . . . . . . . . . . . divide by 29

  (18+2c) = 118 . . . . . . . number of adult tickets

50 child tickets and 118 adult tickets were sold.

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