SOLUTION: Ok my favorite tutors, I only have 2 more questions, at least until monday:) You guys rock!!! Ziggy's famous yogurt blends regular yogurt that is 3% fat with its no-fat yogurt t

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Question 105258This question is from textbook University of Phoenix Elementary and Intermediate Algebra
: Ok my favorite tutors, I only have 2 more questions, at least until monday:) You guys rock!!!
Ziggy's famous yogurt blends regular yogurt that is 3% fat with its 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?
Can you please help me set this up and solve it???
This question is from textbook University of Phoenix Elementary and Intermediate Algebra

Answer by ptaylor(2198)   (Show Source): You can put this solution on YOUR website!
Let x=required amount of yogurt that is 3% fat
Then 60-x=required amount of no-fat yogurt
Now we know that the amount of pure fat in the 3% yogurt (0.03x) plus the amount of pure fat in the no-fat yogurt (0) has to equal the amount of pure fat in the final 1% yogurt mixture(0.01*60) so or equation to solve is:
0.03x=0.01*60 simplify
0.03x=0.6 divide both sides by 0.03
x=20 lbs-----------------------------amount of yogurt that is 3% fat
60-x=60-20=40 lb-------------------------amount of no-fat yogurt needed
CK
0.03*20=0.01*60
0.6=0.6

Hope this helps---ptaylor

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