Question

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QUESTION 5 1 POINT
Tickets for a basketball game cost $5 for students and $8 for adults. The number of students was 7 less than 11 times the
number of adults. The total amount of money from ticket sales was $3682. How many of each ticket were sold?
Provide your answer below:
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adult tickets, student tickets
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Answer 1

Adult: 59 tickets, Student: 642 tickets

Explanation:

$5 = ticket per student (s)

$8 = ticket per adult (a)

$3682 = total money made

# of s = 11a-7 (7 less than 11 times the adults)

We can use this information to create a systems of equations.

5s + 8a = 3682

*price of a ticket times the number of students or adults equals total*

where s = 11a-7

Now we substitute in:

5(11a-7) + 8a = 3682

55a - 35 + 8a = 3682

63a - 35 = 3682

63a = 3717

a = 59

so 59 adult tickets were sold, now we can use this information to solve for student tickets.

s = 11(59)-7

s = 642

So 59 adult tickets, and 642 student tickets were sold.