SOLUTION: An herbalist has 45 oz of herbs costing $4 per ounce. How many ounces of herbs costing $1 per ounce should be mixed with these 45 oz of herbs to produce a mixture costing $2.50 per

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Question 1051624: An herbalist has 45 oz of herbs costing $4 per ounce. How many ounces of herbs costing $1 per ounce should be mixed with these 45 oz of herbs to produce a mixture costing $2.50 per ounce?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = ounces of $1/ounce herbs needed
+%28+45%2A4+%2B+x%2A1+%29+%2F+%28+x+%2B+45+%29+=+2.5+
+%28+180+%2B+x+%29+%2F+%28+x+%2B+45+%29+=+2.5+
+180+%2B+x++=+2.5%2A%28+x+%2B+45+%29+
+180+%2B+x+=+2.5x+%2B+112.5+
+1.5x+=+67.5+
+x+=+45+
45 ounces of $1/ounce herbs are needed
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check:
+%28+180+%2B+x+%29+%2F+%28+x+%2B+45+%29+=+2.5+
+%28+180+%2B+45+%29+%2F+%28+45+%2B+45+%29+=+2.5+
+225+%2F+90+=+2.5+
+225+=+90%2A2.5+
+225+=+225+
OK