SOLUTION: Ziggy's Famous Yogurt blends regular yogurt that is 3% fat with it's no-fat yogurt to obtain low fat yogurt that is 1% fat. How many pounds of regular yogurt and how many pounds o

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: Ziggy's Famous Yogurt blends regular yogurt that is 3% fat with it's no-fat yogurt to obtain low fat yogurt that is 1% fat. How many pounds of regular yogurt and how many pounds o      Log On


   

Question 146120: Ziggy's Famous Yogurt blends regular yogurt that is 3% fat with it's no-fat yogurt to obtain low fat yogurt that is 1% fat. How many pounds of regular yogurt and how many pounds of no-fat yogurt should be mixed to obtain 60 pounds of low fat yogurt?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
In words:
(pounds of fat)/(total pounds) = 1%
Let n= pounds of no-fat yogurt to be added
Let r= pounds of 3% fat yogurt to be added
It is given that
n+%2B+r+=+60
also
.03r%2F60+=+.01
.03r+=++.6
r+=+20
n+%2B+r+=+60
n+=+40
20 pounds of regular yogurt and 40 pounds of no-fat yogurt should be
mixed to obtain 60 pounds of low fat yogurt.
check answer:
.03r%2F60+=+.01
.03%2A20%2F60+=+.01
.03%2A20+=+.6
.6+=+.6
OK