AlgebraMediumAdult tickets from a mixed sale
Algebra practice question
A cinema sold 11 tickets to one family group for $31. Adult tickets cost $5 and child tickets cost $2. How many adult tickets were sold?
Answer: 3
With a adult tickets: 5a + 2(11 − a) = 31 gives 3a = 9, so a = 3.
Common wrong answers
- If you answered 8
- 8 is the number of child tickets.
- If you answered 6.2
- 6.2 divides 31 by 5, ignoring the child tickets.
- If you answered 5.5
- 5.5 splits the tickets evenly.
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