Andrew is selling tickets for the school play, and charges t dollars for adult tickets and 2 dollars for child tickets. On Monday, he sold 18 child tickets and 5 adult tickets. On Tuesday, he sold 10 child tickets and 9 adult tickets. If Andrew made the same amount of money on both days, find the price for an adult ticket.

Question

Lexie Friedman

Mathematics

30 July, 15:59

Andrew is selling tickets for the school play, and charges t dollars for adult tickets and 2 dollars for child tickets. On Monday, he sold 18 child tickets and 5 adult tickets. On Tuesday, he sold 10 child tickets and 9 adult tickets. If Andrew made the same amount of money on both days, find the price for an adult ticket.

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Answers (1)

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Bridget Davenport · Answer 1

Adult ticket = $4.06

Step-by-step explanation:

5t + 36 = 9t + 20

5 x 36 = 180 = 9 x 20 = 180

36/5 = 7.20 20/9 = 2.22 7.20-2.22 = 4.98

5t = 4.98 x 5 = 24.09 + 36 = 60.09

9t = 4.98 x 9 = 44.82 + 20 = 64.92

So we know it is 7.20 + 4.98 = 12.18/3 = 4.06

5t = 4.06 x 5 = 20.03 + 36 = 56.03

9t = 4.06 x 9 = 36.54 + 20 = 56.54

t = $4.06