SOLUTION: How much soil containing 55% sand needs to be added to 1m of soil containing 25% sand to make soil containing 35% sand?

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Question 683927: How much soil containing 55% sand needs to be added to 1m of soil containing 25% sand to make soil containing 35% sand?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = m of soil with 55% sand needed
+.55x+ = m of sand in 55% soil
+.25%2A1+=+.25+ m of sand in 25% soil
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+%28+.55x+%2B+.25+%29+%2F+%28+x+%2B+1+%29+=+.35+
+.55x+%2B+.25+=+.35%2A%28+x+%2B+1+%29+
+.55x+%2B+.25+=+.35x+%2B+.35+
+.2x+=+.1+
+x+=+.5+
.5 m of soil containing 55% sand must be added
check:
+%28+.55x+%2B+.25+%29+%2F+%28+.5+%2B+1+%29+=+.35+
+%28+.55%2A.5+%2B+.25+%29+%2F+1.5+=+.35+
+.275+%2B+.25+=+1.5%2A.35+
+.525+=+.525+
OK