Mathematics · Linear Inequalities
A laundry service is buying detergent and fabric softener from its supplier. The supplier will deliver no more than 300 pounds in a shipment. Each container of detergent weighs 7.35 pounds, and each container of fabric softener weighs 6.2 pounds. The service wants to buy at least twice as many containers of detergent as containers of fabric softener. Let d represent the number of containers of detergent, and let s represent the number of containers of fabric softener, where d and s are nonnegative integers. Which of the following systems of inequalities best represents this situation?
- 114.7d + 6.2s ≤ 300 2d ≥ s
- 214.7d + 6.2s ≤ 300 d ≥ 2s
- 37.35d + 6.2s ≤ 300 2d ≥ s
- 47.35d + 6.2s ≤ 300 d ≥ 2s✓
Correct answer
7.35d + 6.2s ≤ 300 d ≥ 2s
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