Problem 10 of 35alg-010
A theater sold 150 tickets to a show for a total of $1,080. Adult tickets cost $8 each and student tickets cost $5 each. How many adult tickets were sold?
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Solution walkthrough2:09
- Two unknowns: adult tickets and student tickets. Counting tickets gives .
- Counting dollars: each adult ticket brings in $8 and each student ticket $5, so .
- Suppose every ticket cost only $5. Multiply the first equation by : .
- Subtract. The cancels, leaving the extra $3 on each adult ticket: .
- Divide by : adult tickets. Check: , and .
- Traps: is the student tickets, divides $330 by 5, and divides $1,080 by 8.