AlgebraMediumPrice of one ticket from two purchases
Algebra practice question
Three adult tickets and two child tickets cost $34, while one adult ticket and four child tickets cost $28. What is the price, in dollars, of one adult ticket?
Answer: 8
From the second purchase, a = 28 − 4c. Substitute into the first: 3(28 − 4c) + 2c = 34, so 84 − 10c = 34, 10c = 50, c = 5. Then a = 28 − 20 = 8.
Common wrong answers
- If you answered 5
- 5 is the price of a CHILD ticket.
- If you answered 11.33
- 11.33 is 34/3, treating the first purchase as adult tickets only.
- If you answered 6.8
- 6.8 is 34/5, dividing the first total by the number of tickets as if all were the same price.
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