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Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $3,121 was collected on the sale of 1,249 tickets. How many of each type of ticket were sold?

Verified Answer :

let a = # of adult tickets & s = # of student tickets

3121 = 5a + 1s
1249 = a + s
1249 - a = s
3121 = 5a + 1(1249 - a)
3121 = 4a + 1249
1872 = 4a
a = 468 tickets

so we plug it back into the original equation
1249 = a + s
1249 = 468 + s
781 tickets = s

There were 468 adult tickets and 781 student tickets sold.


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