SOLUTION: A yogurt company blends regular yogurt that is 4% fat with its no-fat yogurt to obtain low-fat yogurt that is 1% fat. How many pounds of non-fat yogurt must be mixed to obtain 50 p

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Question 1116889: A yogurt company blends regular yogurt that is 4% fat with its no-fat yogurt to obtain low-fat yogurt that is 1% fat. How many pounds of non-fat yogurt must be mixed to obtain 50 pounds of low-fat yogurt?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = pounds of non-fat yogurt needed
+50+-+x+ = pounds of regular 4% yogurt needed
+.04%2A%28+50+-+x+%29+ = pounds of fat in the 4% yogurt
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+%28+.04%2A%28+50+-+x+%29+%29+%2F+50+=+.01+
+.04%2A%28+50+-+x+%29+=+.5+
+2+-+.04x+=+.5+
+.04x+=+1.5+
+x+=+37.5+
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37.5 pounds of non-fat yogurt are needed
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check:
+50+-+x+=+50+-+37.5+
+50+-+x+=+12.5+ pounds of 4% yogurt needed
+.04%2A12.5+=+.5+ pounds of fat in 4% yogurt
+.5+%2F+50+=+.01+
+1+%2F+100+=+.01+
OK