AlgebraMediumCars on a ferry from fares
Algebra practice question
A ferry charges $12 for each car and $3 for each bicycle. On one crossing it carried 25 vehicles in total and collected $210. How many cars were on the crossing?
Answer: 15
With c cars: 12c + 3(25 − c) = 210 gives 9c = 135, so c = 15.
Common wrong answers
- If you answered 10
- 10 is the number of bicycles.
- If you answered 12
- 12 copies the car fare.
- If you answered 17.5
- 17.5 divides 210 by 12, ignoring the bicycles.
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