There are two seed lots having 98% and 70% germination, respectively. How much of each seed should be mixed together to obtain a final lot with 85% germination?
Given:
Calculation:
Parts of 98% germination seed = 85 − 70 = 15 parts
Parts of 70% germination seed = 98 − 85 = 13 parts
Required mixing ratio:
98% germination seed : 70% germination seed = 15 : 13
Final Answer: Mix 15 parts of 98% germination seed with 13 parts of 70% germination seed to obtain a final seed lot with 85% germination.
A seed man has 600 kg of seed with 70% germination. How much seed with 95% germination must be blended to obtain a final lot with 85% germination?
Given:
Parts of 95% germination seed = 85 − 70 = 15 parts
Parts of 70% germination seed = 95 − 85 = 10 parts
Required mixing ratio:
70% germination seed : 95% germination seed = 10 : 15
Let X be the quantity of 95% germination seed required.
600 / 10 = X / 15
X = (600 × 15) / 10
X = 900 kg
Total seed quantity = 600 + 900 = 1,500 kg
Germination contribution from 600 kg of seed:
600 × 70 = 42,000
Germination contribution from 900 kg of seed:
900 × 95 = 85,500
Total germination contribution = 42,000 + 85,500 = 127,500
Final germination percentage = 127,500 / 1,500 = 85%
Final Answer: 900 kg of 95% germination seed must be blended with 600 kg of 70% germination seed to obtain a final lot with 85% germination.
