SOLUTION: How much soli containg 45% sand do you need to add to 1 ft^3 of soil containing 15% sand in order to make a soil containing 35% sand?

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Question 536192: How much soli containg 45% sand do you need to add to 1 ft^3 of soil containing 15% sand in order to make a soil containing 35% sand?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = ft3 of 45% soil
+.45x+ = ft3 of sand in 45% soil
given:
+.15%2A1+ = ft3 of sand in 1 ft3 of 15% soil
---------------
In words:
( final cubic ft of sand ) / ( final cubic ft of soil ) = 35%
+%28+.45x+%2B+.15+%29+%2F+%28+x+%2B+1+%29+=+.35+
+.45x+%2B+.15+=+.35%2A%28+x+%2B+1+%29+
+.45x+%2B+.15+=+.35x+%2B+.35+
+.1x+=+.2+
+x+=+2+
2 ft3 of soil with 45% sand is needed
check:
+%28+.45%2A2+%2B+.15+%29+%2F+%28+2+%2B+1+%29+=+.35+
+%28+.9+%2B+.15+%29+%2F+3+=+.35+
+1.05+%2F+3+=+.35+
+1.05+=+1.05+
OK