AlgebraHardGreatest whole number under a budget
Algebra practice question
A van rental costs $45 per day plus $0.50 per kilometre driven. A customer rents the van for one day and can spend at most $110. What is the greatest whole number of kilometres the customer can drive?
Answer: 130
45 + 0.5k ≤ 110, so 0.5k ≤ 65 and k ≤ 130. The greatest whole number is 130. Check: 45 + 65 = $110 exactly.
Common wrong answers
- If you answered 65
- 65 is 110 − 45, the dollars left for kilometres — not the kilometres. Divide by 0.50.
- If you answered 220
- 220 is 110 / 0.5, ignoring the $45 daily charge.
- If you answered 310
- 310 is (110 + 45) / 0.5, adding the daily charge to the budget instead of subtracting it.
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