SOLUTION: How much soil with 10% sand do you need to add to 0.5 ydł of soil with 40% sand in order to make a soil with 16% sand?

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Question 1074171: How much soil with 10% sand do you
need to add to 0.5 ydł of soil with 40%
sand in order to make a soil with 16%
sand?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = cubic yds of soil with 10% sand
+.1x+ = cubic yds of sand in the 10% soil
+.4%2A.5+=+.2+ yd3 of sand in the 40% soil
-------------------------------------------
+%28+.1x+%2B+.2+%29+%2F+%28+x+%2B+.5+%29+=+.16+
+.1x+%2B+.2+=+.16%2A%28+x+%2B+.5+%29+
+.1x+%2B+.2+=+.16x+%2B+.08+
+.06x+=+.12+
+x+=+2+
----------------
2 cubic yds of soil with 10% sand needs to be added
----------------
check:
+%28+.1x+%2B+.2+%29+%2F+%28+x+%2B+.5+%29+=+.16+
+%28+.1%2A2+%2B+.2+%29+%2F+%28+2+%2B+.5+%29+=+.16+
+%28+.2+%2B+.2+%29+%2F+2.5+=+.16+
+.4+=+.16+%2A+2.5+
+.4+=+.4+
OK