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Math Word Problem Please Help

A community drama centre sells tickets to a play, they sell 216 tickets. Adult tickets cost $10.25 and student tickets cost $8.00. The total ticket sales came to $2117.25. How many student tickets were sold? How many adult tickets were sold?

User Muc
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1 Answer

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Answer: They sold 173 adult tickets and 43 student tickets.

Explanation:

Equations:

  • 10.25x + 8y = 2117.25
  • x + y = 216
  • X = adult tickets.
  • Y = student tickets.

Solving:

  • 10.25x + 8(216 - x) = 2117.25 (y = 216 - x, substitute in for y)
  • 10.25x + 1728 - 8x = 2117.25 (distribute)
  • 2.25x = 389.25 (combine like terms)
  • x = 173
  • 173 + y = 216 (solve for y)
  • y = 43

User Yoshiaki
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