AlgebraMediumGreatest number of parcels under a weight limit
Algebra practice question
A delivery drone can carry at most 150 kilograms, including a 30-kilogram container. How many 12-kilogram parcels, at most, can it carry inside the container?
Answer: 10
30 + 12p ≤ 150, so 12p ≤ 120 and p ≤ 10. The greatest number is 10, using the full 150 kilograms.
Common wrong answers
- If you answered 9
- 9 leaves 12 kilograms unused; 10 parcels fit exactly.
- If you answered 12
- 12 is 150/12 rounded down, forgetting the 30-kilogram container.
- If you answered 15
- 15 is (150 + 30)/12, adding the container's weight to the limit instead of subtracting it.
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