AlgebraVery hardWhole-number maximum under a budget
Algebra practice question
A hall costs $40 to book plus $12 for each hour it is used, and it can be booked only for a whole number of hours. What is the greatest number of hours that can be booked for at most $200?
Answer: 13
40 + 12h ≤ 200 gives h ≤ 13.33…, so the greatest whole number of hours is 13.
Common wrong answers
- If you answered 14
- 14 hours would cost $208, over the limit; rounding up is wrong here.
- If you answered 16
- 16 ignores the $40 fee (200/12 ≈ 16.7).
- If you answered 13.33
- The booking must be a whole number of hours.
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