SOLUTION: How many pounds of tea worth $1.80 a pound must be mixed with 15 pounds of tea worth $1.10 a pound to produce a mixture worth $1.50 a pound?

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Question 1107107: How many pounds of tea worth $1.80 a pound must be mixed with 15 pounds of tea worth $1.10 a pound to produce a mixture worth $1.50 a pound?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = pounds of $1.80/pound tea needed
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+%28+1.8x+%2B+15%2A1.1+%29+%2F+%28+x+%2B+15+%29+=+1.5+
+1.8x+%2B+16.5+=+1.5%2A%28+x+%2B+15+%29+
+1.8x+%2B+16.5+=+1.5x+%2B+22.5+
+.3x+=+6+
+x+=+20+
20 pounds of $1.80/pound tea are needed
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check:
+%28+1.8x+%2B+15%2A1.1+%29+%2F+%28+x+%2B+15+%29+=+1.5+
+%28+1.8%2A20+%2B+15%2A1.1+%29+%2F+%28+20+%2B+15+%29+=+1.5+
+%28+36+%2B+16.5+%29+%2F+35+=+1.5+
+52.5+=+1.5%2A35+
+52.5+=+52.5+
OK