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

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Question 551089: How much soil containing 45% sand do you need to add to 1ft.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+ = ft of 45% soil needed
+.45x+ = ft of sand in 45% soil
+.15%2A1+ = ft of sand in 15% soil
--------------------------
+%28+.45x+%2B+.15+%29+%2F+%28+1+%2B+x+%29+=+.35+
+.45x+%2B+.15+=+.35%2A%28+1+%2B+x+%29+
+.45x+%2B+.15+=+.35+%2B+.35x+
+.45x+-+.35x+=+.35+-+.15+
+.1x+=+.2+
+x+=+2+
2 ft of soil containing 45% sand is needed
check answer:
+%28+.45%2A2+%2B+.15+%29+%2F+%28+1+%2B+2+%29+=+.35+
+%28+.9+%2B+.15+%29+%2F+3+=+.35+
+1.05+=+1.05+
OK