Theatre tickets cost either $30 or $42. One evening twice as many $30 tickets are sold as $42 tickets and the total money taken is $18564. Find the total number of tickets that are sold.

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Adam Dyga asked Mar 12, 2023

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Theatre tickets cost either $30 or $42. One evening twice as many $30 tickets are sold as $42 tickets and the total money taken is $18564. Find the total number of tickets that are sold.

Mathematics
high-school

Adam Dyga asked Mar 12, 2023

by Adam Dyga

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Ratio = 1:2
1 + 2 = 3
18564 / 3 = 6188
6188 x 2 = 12376
Ratio = 6188:12376
6188 / 42 = 148 tickets
12376 / 30 = 413 tickets
413 + 148 = 561 tickets

Andrew Surzhynskyi answered Mar 16, 2023

by Andrew Surzhynskyi

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