Aride on the roller coaster costs 4 tickets while the boat ride only costs 3 tickets. michael went on the two rides a total of 10 times and spent a total of 37 tickets which equation is true?

Let x be the number of times that Michael rode on the roller coaster and let y be the number of times that he rode on the boat, then: x + y = 10 [because he went on the two rides a total of 10 times], and 4x + 3y = 37 [because a ride on a roller coaster costs 4 tickets and the boat ride costs 3 tickets and he spent a total of 37 tickets] From the first equation, 4x + 4y = 40 subtracting the second equation from the third equation gives: y = 3, and from the first equation x = 10 - y = 10 - 3 = 7 Therefore, Michael rode on the roller coaster 7 times and on the boat 3 times.

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