AlgebraHardInequality from a word constraint
Algebra practice question
A lift can carry at most 600 kilograms. A delivery worker who weighs 80 kilograms rides with n boxes that weigh 25 kilograms each. Which inequality gives all possible values of n?
- A. 80 + 25n ≤ 600Correct
- B. 80 + 25n < 600
- C. 25n ≤ 600
- D. 80n + 25 ≤ 600
Answer: A. 80 + 25n ≤ 600
Total weight is the worker plus the boxes, and 'at most' means ≤: 80 + 25n ≤ 600.
Why the other answers are wrong
- B. 80 + 25n < 600
- 'At most 600' allows exactly 600, so ≤, not <.
- C. 25n ≤ 600
- Leaves out the worker's 80 kg.
- D. 80n + 25 ≤ 600
- Multiplies n by the worker's weight instead of the box weight.
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