AlgebraMediumInequality from 'no more than' with two rates
Algebra practice question
A baker has no more than 5 kilograms of sugar. Each cake uses 0.4 kilograms and each batch of biscuits uses 0.25 kilograms. If c cakes and b batches are made, which inequality represents the sugar constraint?
- A. 0.4c + 0.25b ≤ 5Correct
- B. 0.4c + 0.25b ≥ 5
- C. 0.4c + 0.25b < 5
- D. 0.25c + 0.4b ≤ 5
Answer: A. 0.4c + 0.25b ≤ 5
Sugar used is 0.4c + 0.25b, and 'no more than 5' means ≤ 5.
Why the other answers are wrong
- B. 0.4c + 0.25b ≥ 5
- ≥ 5 would require using at least 5 kg.
- C. 0.4c + 0.25b < 5
- 'No more than' allows exactly 5, so ≤ not <.
- D. 0.25c + 0.4b ≤ 5
- Swaps the amounts per cake and per batch.
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