In a horticulture assignment, 200 seeds were planted in plot 1 and 300 were…
2025
In a horticulture assignment, 200 seeds were planted in plot 1 and 300 were planted in plot 2. If 57% of the seeds are germinated for plot 1 and 42% from plot 2, what % of the total seeds germinated ?
- A.
45.5
- B.
46.5
- C.
48
- D.
49.5
Attempted by 183 students.
Show answer & explanation
Correct answer: C
Step-by-step solution:
Compute germinated seeds in plot 1: 57% of 200 = 0.57 × 200 = 114.
Compute germinated seeds in plot 2: 42% of 300 = 0.42 × 300 = 126.
Total germinated seeds = 114 + 126 = 240.
Total seeds = 200 + 300 = 500.
Percent germinated = (240 / 500) × 100 = 48%.
Weighted average explanation:
You can also use the weighted-average formula: (200 × 57 + 300 × 42) / (200 + 300) = 48%. The simple average (57 + 42) / 2 = 49.5 is incorrect here because it treats both plots as if they had the same number of seeds.