SOLUTION: I want to build a garden and I need 10 cubic feet of soil having 17% clay. theres 2 types of soil i can combine to achieve this: soil with 35% clay and soil containing 10% clay. H
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Question 513106: I want to build a garden and I need 10 cubic feet of soil having 17% clay. theres 2 types of soil i can combine to achieve this: soil with 35% clay and soil containing 10% clay. How many cubic feet of each should I use.and how is it determined. Answer by solver91311(24713) (Show Source):
Let represent the number of cubic feet of soil that is 35% clay. Then is the amount of 10% clay (because the two amounts must total 10 cubic feet.) 10 cubic feet of 17% clay soil has 10 times 0.17 = 1.7 cubic feet of pure clay. cubic feet of 35% clay soil has cubic feet of pure clay, and cubic feet of 10% clay soil has cubic feet of pure clay. The amount of pure clay in the 35% soil plus the amount of clay in the 10% soil must sum to the amount of clay in the 17% soil, namely 1.7 cubic feet. Hence:
Solve for , then calculate
John
My calculator said it, I believe it, that settles it
