document.write( "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? \n" ); document.write( "

Algebra.Com's Answer #322708 by stanbon(75887) $\"\"$ $\"About$

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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?
\n" ); document.write( "----
\n" ); document.write( "Equation:
\n" ); document.write( "clay + clay = clay
\n" ); document.write( "0.35x + 0.10(10-x) = 0.17*10
\n" ); document.write( "---
\n" ); document.write( "Multiply thru by 100 to get:
\n" ); document.write( "35x + 10*10 - 10x = 17*10
\n" ); document.write( "25x = 7*10
\n" ); document.write( "---
\n" ); document.write( "x = (2/5)7
\n" ); document.write( "x = 14/5 = 2.8 ft^3 (amt. of 35%-clay soil needed)
\n" ); document.write( "-----
\n" ); document.write( "10-2.8 = 7.2 ft^3 (amt of 10%-clay soil needed)
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\n" ); document.write( "cheers,
\n" ); document.write( "Stan H.
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