A farmer sows 500 seeds in a rectangular plot. After 5 days, 200 germinate. The remaining 300 seeds are blown away by wind. The wind carries 15% of the remaining seeds to plot A, 10% to plot B, 5% to plot C, and the rest to plot D. How many seeds will each of the four plots receive?
Answer
A: 45 seeds, B: 30 seeds, C: 15 seeds, D: 210 seeds
The correct answer is A: 45 seeds, B: 30 seeds, C: 15 seeds, D: 210 seeds — Hence the four plots receive 45, 30, 15, and 210 seeds respectively.
Step-by-step solution
- Seeds left after germination: 500 – 200 = 300.
- Seeds sent to plot A: 15% of 300 = 0.15 × 300 = 45.
- Seeds sent to plot B: 10% of 300 = 0.10 × 300 = 30.
- Seeds sent to plot C: 5% of 300 = 0.05 × 300 = 15.
- Seeds remaining for plot D: 300 – 45 – 30 – 15 = 210.
- Hence the four plots receive 45, 30, 15, and 210 seeds respectively.
Common mistake: Applying percentages to the wrong total or forgetting to subtract after each allocation
Concept tested: Seed dispersal by wind
Published · How this solution was prepared and checked
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