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A soccer club hosted a 5k to raise money. They enrolled children for $27 and adults for $38. They made $8233 and had 232 people join the run. How many adults were enrolled in the run

Respuesta :

adioabiola

The number of children and adults enrolled is 53 and 179 respectively

  • Cost of children tickets = $27
  • Cost of adults tickets = $38
  • Total amount made = $8233
  • Total number of people =232

let

  • x = number of children
  • y = number of adults

The equation

x + y = 232 (1)

27x + 38y = 8,233 (2)

from (1)

x = 232 - y

  • substitute x = 232 - y into (2)

27x + 38y = 8,233

27(232 - y) + 38y = 8233

6264 - 27y + 38y = 8233

- 27y + 38y = 8233 - 6264

11y = 1969

y = 1969/11

y = 179

  • substitute y = 179 into (1)

x + y = 232

x + 179 = 232

x = 232 - 179

x = 53

Therefore, the number of children and adults enrolled is 53 and 179 respectively

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