SOLUTION: Can you please help me with this problem? A rug is made by weaving 16 lb of yarn that is 60% wool with a yarn that is 15% wool. How many pounds of the yarn that is 15% wool must

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Question 588168: Can you please help me with this problem?
A rug is made by weaving 16 lb of yarn that is 60% wool with a yarn that is 15% wool. How many pounds of the yarn that is 15% wool must be used if the finished rug is to be 33% wool?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = pounds of yarn with 15% wool needed
+.15x+ = pounds of wool in the 15% yarn
+.6%2A16+=+9.6+ pounds of wool in the 60% yarn
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+%28+.15x+%2B+9.6+%29+%2F+%28+x+%2B+16+%29+=+.33+
+.15x+%2B+9.6+=+.33%2A%28+x+%2B+16+%29+
+.15x+%2B+9.6+=+.33x+%2B+5.28+
+.33x+-+.15x+=+9.6+-+5.28+
+.18x+=+4.32+
+x+=+24+
24 pounds of yarn with 15% wool is needed
check:
+%28+.15x+%2B+9.6+%29+%2F+%28+x+%2B+16+%29+=+.33+
+%28+.15%2A24+%2B+9.6+%29+%2F+%28+24+%2B+16+%29+=+.33+
+%28+3.6+%2B+9.6+%29+%2F+40+=+.33+
+13.2+%2F+40+=+.33+
+13.2+=+.33%2A40+
+13.2+=+13.2+
OK