AlgebraHardInequality with a bounded quantity
Algebra practice question
A lift can carry at most 630 kilograms. A delivery worker who weighs 80 kilograms rides with boxes of 25 kilograms each. Which inequality gives all possible numbers of boxes b the lift can carry with the worker?
- A. 25b + 80 ≤ 630Correct
- B. 25b + 80 < 630
- C. 25b ≤ 630
- D. 80b + 25 ≤ 630
Answer: A. 25b + 80 ≤ 630
Total load = 80 + 25b, which must be at most 630: 25b + 80 ≤ 630 (so b ≤ 22).
Why the other answers are wrong
- B. 25b + 80 < 630
- 'At most' allows equality, so ≤, not <.
- C. 25b ≤ 630
- Leaves out the worker's weight.
- D. 80b + 25 ≤ 630
- Swaps the worker's weight and the box weight.
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