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A group of eight friends went ice skating. Together, they paid $75.95 for admission and food while at the ice skating rink. Admission is $3.25 with a coupon and $5.50 without the coupon. The total cost of the food for all eight people was $36.45. How many people paid with the coupon and how many paid without the coupon?

Respuesta :

mhanifa

Answer:

  • 2 people paid with the coupon and 6 people paid without the coupon

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Admission total is

  • 75.95 - 36.45 = 39.5

Let the number of people paid with the coupon is c, without coupon is w.

Number of people is 8.

Set equations

  • c + w = 8
  • 3.25c + 5.5w = 39.5

Solve by substitution

  • c = 8 - w

  • 3.25(8 - w) + 5.5w = 39.5
  • 26 - 3.25w + 5.5w = 39.5
  • 2.25w = 39.5 - 26
  • 2.25w = 13.5
  • w = 13.5/2.25
  • w = 6

Find c

  • c = 8 - 6 = 2

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