Problem 28 of 35alg-028
Priya has $75 to spend at a fair. Admission costs $15 and each ride costs $8. What is the greatest number of rides she can pay for?
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Solution walkthrough1:39
- Admission is paid once, each ride costs $8, and the total can be at most $75. For rides: .
- Subtract the admission from both sides: . Then divide both sides by : .
- Rides come in whole numbers. The greatest whole number that is at most is , so round down.
- Check both sides of the limit. rides: , which fits. rides: , too much.
- Traps: rounds up, forgets the admission, and charges admission on every ride.