AlgebraMediumInequality for staying under a weight limit
Algebra practice question
A lift can carry at most 450 kilograms. A porter weighing 70 kilograms rides with n crates of 25 kilograms each. Which inequality gives the allowed values of n?
- A. 70 + 25n ≤ 450Correct
- B. 70 + 25n < 450
- C. 25n ≤ 450
- D. 70n + 25 ≤ 450
Answer: A. 70 + 25n ≤ 450
Total weight is the porter plus the crates, and 'at most' is ≤.
Why the other answers are wrong
- B. 70 + 25n < 450
- 'At most 450' allows exactly 450, so ≤ not <.
- C. 25n ≤ 450
- Leaves out the porter.
- D. 70n + 25 ≤ 450
- Multiplies n by the porter's weight.
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