At Friday's football game, 152 tickets were sold for a total amount of $616.00. If each student ticket costs $3.00 each and each adult ticket cost $5.00 each, how many student tickets were purchased?

Answer 1

Hi Sarah, let s represent the number of student tickets sold and a represent the number of adult tickets sold. Set up a system of equations and solve.

Equation 1, number of tickets sold:

s + a = 152

Equation 2, cost of each ticket:

3s + 5a = 616

System of equations to solve:

s + a = 152

3s + 5a = 616

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Multiply equation 1 by -3 and add:

-3a - 3a = -456

3s + 5a = 616

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2a = 160

a = 80

80 adult tickets were sold.

s + 80 = 152

s = 72

72 student tickets were sold.

Questions?