AlgebraVery hardChild tickets from a count and a total
Algebra practice question
A theatre sold 300 tickets for one performance. Adult tickets cost 12 dollars and child tickets cost 8 dollars, and the sales totalled 3,120 dollars. How many child tickets were sold?
Answer: 120
With a adult and c child tickets, a + c = 300 and 12a + 8c = 3120. Substituting a = 300 − c gives 3600 − 4c = 3120, so c = 120.
Common wrong answers
- If you answered 180
- 180 is the number of adult tickets.
- If you answered 260
- 260 divides 3120 by 12.
- If you answered 390
- 390 divides 3120 by 8.
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