AlgebraVery hardMaximum boxes with a fixed load
Algebra practice question
A van can carry at most 800 kilograms. It must carry 8 crates that each weigh 60 kilograms, and the rest of its load will be boxes that each weigh 35 kilograms. What is the greatest number of boxes the van can carry?
Answer: 9
The crates weigh 480 kg, leaving 320 kg: 35b ≤ 320 gives b ≤ 9.14, so 9 boxes.
Common wrong answers
- If you answered 5
- 5 divides 320 by 60.
- If you answered 10
- 10 boxes would bring the load to 830 kg.
- If you answered 22
- 22 ignores the crates (800/35).
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