SOLUTION: Please help me with this mixture problem. A farmer has some red pepper seeds that cost 2o cents per pound and 100 pounds of green pepper seeds that cost 50 cents per pound. How

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Question 666384: Please help me with this mixture problem.
A farmer has some red pepper seeds that cost 2o cents per pound and 100 pounds of green pepper seeds that cost 50 cents per pound. How much of the red pepper seeds must be added to the green pepper seeds to make a mixture that sells for 4o cents per pound.
Thank you

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = pounds of red pepper seeds needed
given:
+%28+.2x+%2B+.5%2A100+%29+%2F+%28+x+%2B+100+%29+=+.4+
+.2x+%2B+50++=+.4%2A%28+x+%2B+100+%29+
+.2x+%2B+50+=+.4x+%2B+40+
+.2x+=+10+
+x+=+50+
50 pounds of red pepper seeds are needed
check:
+%28+.2%2A50+%2B+.5%2A100+%29+%2F+%28+50+%2B+100+%29+=+.4+
+%28+10+%2B+50+%29+%2F+150+=+.4+
+60+=+.4%2A150+
+60+=+60+
OK