SOLUTION: 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

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Question 212716This question is from textbook Elementary and Intermediate Algebra
: 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? This question is from textbook Elementary and Intermediate Algebra

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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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?
:
let n = amt of no fat stuff required
the resulting amt is given as 60 lb, therefore:
(60-n) = amt of 3% stuff
:
.03(60-n) = .01(60)
1.8 - .03n = .6
1.8 - .6 = .03n
1.2 = .03n
n = 1.2%2F.03
n = 40 lb of no-fat
then, obviously, 20 lb of 3% needed
;
:
Check solution (the amt of fat is unchanged)
.03(20) = .01(60)
.6 = .6