# SOLUTION: To build the garden of your dreams you 10 ft3 of soil containing 17% clay. you have two types of soil you can combine to achieve this: soil with 35% clay and soil with 10% clay. ho

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 Question 470516: To build the garden of your dreams you 10 ft3 of soil containing 17% clay. you have two types of soil you can combine to achieve this: soil with 35% clay and soil with 10% clay. how much of each soil should you use?Answer by stanbon(57352)   (Show Source): You can put this solution on YOUR website!To build the garden of your dreams you need 10 ft^3 of soil containing 17% clay. you have two types of soil you can combine to achieve this: soil with 35% clay and soil with 10% clay. how much of each soil should you use? ---- Equation: clay + clay = clay 0.35x + 0.10(10-x) = 0.17*10 --- Multiply thru by 100 to get: 35x + 10*10 - 10x = 17*10 25x = 7*10 --- x = (2/5)7 x = 14/5 = 2.8 ft^3 (amt. of 35%-clay soil needed) ----- 10-2.8 = 7.2 ft^3 (amt of 10%-clay soil needed) ========================================= cheers, Stan H.