AlgebraVery hardInterpreting a two-variable inequality's boundary point
Algebra practice question
A delivery van can carry at most 800 kilograms. Crates weigh 20 kilograms and sacks weigh 30 kilograms. If c crates and s sacks are loaded, which of the following loads is possible?
- A. 25 crates and 10 sacksCorrect
- B. 30 crates and 8 sacks
- C. 10 crates and 25 sacks
- D. 20 crates and 15 sacks
Answer: A. 25 crates and 10 sacks
20(25) + 30(10) = 500 + 300 = 800 ≤ 800 ✓.
Why the other answers are wrong
- B. 30 crates and 8 sacks
- 600 + 240 = 840 > 800.
- C. 10 crates and 25 sacks
- 200 + 750 = 950 > 800.
- D. 20 crates and 15 sacks
- 400 + 450 = 850 > 800.
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