SOLUTION: There are 20 pounds of a trial mix that is 30% nuts. How many pounds of nuts would you need to be added to the mix to have 50% nuts?

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Question 860798: There are 20 pounds of a trial mix that is 30% nuts. How many pounds of nuts would you need to be added to the mix to have 50% nuts?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+.3%2A20+=+6+ = pounds of nuts in mix
Let +x+ = pounds of nuts to add to
make the mix 50% nuts
+%28+6+%2B+x+%29+%2F+%28+20+%2B+x+%29+=+.5+
+6+%2B+x+=+.5%2A%28+20+%2B+x+%29+
+6+%2B+x+=+10+%2B+.5x+
+.5x+=+4+
+x+=+8+
8 pounds of nuts should be added
check:
+%28+6+%2B+x+%29+%2F+%28+20+%2B+x+%29+=+.5+
+%28+6+%2B+8+%29+%2F+%28+20+%2B+8+%29+=+.5+
+14+%2F+28+=+.5+
+.5+=+.5+
OK