AlgebraVery hardNumber of each ticket type from two totals
Algebra practice question
A theatre sold 50 tickets for a show, some at $12 and the rest at $8, taking $480 in total. How many $8 tickets were sold?
Answer: 30
With e eight-dollar tickets: 12(50 − e) + 8e = 480 gives 600 − 4e = 480, so e = 30.
Common wrong answers
- If you answered 20
- 20 is the number of $12 tickets.
- If you answered 25
- 25 splits the tickets evenly.
- If you answered 40
- 40 divides 480 by 12.
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