AlgebraEasy–MediumNumber of people under two limits
Algebra practice question
A lift can carry at most 10 people and at most 750 kilograms. If the people using it weigh 82 kilograms on average, what is the greatest number of people who can ride together?
Answer: 9
82p ≤ 750 → p ≤ 9.15, so at most 9 people, which is also within the 10-person limit.
Common wrong answers
- If you answered 8
- 8 is under the limit but not the greatest.
- If you answered 10
- 10 people would weigh about 820 kg, over the limit.
- If you answered 91
- 91 comes from 750 ÷ 82 × 10, a misplaced decimal.
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