Jose is a student of horticulture in the University of Hose. In a horticultural experiment in his final year, 200 seeds were planted in plot I and 300 were planted in plot II. If 57% of the seeds in plot I germinated and 42% of the seeds in plot II germinated, what percent of the total number of planted seeds germinated?
Question
Jose is a student of horticulture in the University of Hose. In a horticultural experiment in his final year, 200 seeds were planted in plot I and 300 were planted in plot II. If 57% of the seeds in plot I germinated and 42% of the seeds in plot II germinated, what percent of the total number of planted seeds germinated?
Solution
Step 1: Calculate the number of seeds that germinated in each plot.
For plot I, 57% of 200 seeds germinated. So, 0.57 * 200 = 114 seeds germinated.
For plot II, 42% of 300 seeds germinated. So, 0.42 * 300 = 126 seeds germinated.
Step 2: Calculate the total number of seeds that germinated.
Total germinated seeds = Germinated seeds in plot I + Germinated seeds in plot II Total germinated seeds = 114 + 126 = 240 seeds
Step 3: Calculate the total number of seeds that were planted.
Total planted seeds = Seeds planted in plot I + Seeds planted in plot II Total planted seeds = 200 + 300 = 500 seeds
Step 4: Calculate the percentage of the total number of planted seeds that germinated.
Percentage of germinated seeds = (Total germinated seeds / Total planted seeds) * 100 Percentage of germinated seeds = (240 / 500) * 100 = 48%
So, 48% of the total number of planted seeds germinated.
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