16Hit1600
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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