SOLUTION: A company offers gourmet coffee beans for $14 per pound and regular coffee beans for $5 per pound. Jimmy is creating a medium-priced product that will sell for $7 per pound. First

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A company offers gourmet coffee beans for $14 per pound and regular coffee beans for $5 per pound. Jimmy is creating a medium-priced product that will sell for $7 per pound. First       Log On


   



Question 1017320: A company offers gourmet coffee beans for $14 per pound and regular coffee beans for $5 per pound. Jimmy is creating a medium-priced product that will sell for $7 per pound. First thing to go into the mixing bin was 10 pounds of gourmet beans. How many pounds of less expensive regular beans should be added to create the medium-priced coffee?
Found 2 solutions by josgarithmetic, josmiceli:
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
Another one of these kind of examples:
mixture find one part if other part known

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = pounds of the $5/pound beans needed
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+%28+14%2A10+%2B+5x+%29+%2F+%28+10+%2B+x+%29+=+7+
+140+%2B+5x+=+7%2A%28+10+%2B+x+%29+
+140+%2B+5x+=+70+%2B+7x+
+2x+=+70+
+x+=+35+
35 pounds of the $5/pound beans are needed
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check answer:
+%28+14%2A10+%2B+5x+%29+%2F+%28+10+%2B+x+%29+=+7+
+%28+14%2A10+%2B+5%2A35+%29+%2F+%28+10+%2B+35+%29+=+7+
+%28+140+%2B+175+%29+%2F+45+=+7+
+315+=+7%2A45+
+315+=+315+
OK