SOLUTION: 78. Low-fat yogurt. 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

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: 78. Low-fat yogurt. 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       Log On


   



Question 165086: 78. Low-fat yogurt. 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?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
(pounds of fat in mixture)/(total pound of mixture) = per cent fat
Let n = pounds of no-fat yogurt to be used
60+-+n= pound of 3% yogurt used
The only fat is in the 3% yogurt
.03%2A%2860+-+n%29+%2F+60+=+.01
%281.8+-+.03n%29+%2F+60+=+.01
1.8+-+.03n+=+.6
.03n+=+1.2
n+=+40
60+-+40+=+20
40 pounds of no-fat yogurt and 20 pounds of 3% fat yogurt are needed
check:
.03%2A%2860+-+n%29+%2F+60+=+.01
.03%2A%2860+-+40%29+%2F+60+=+.01
.6%2F60+=+.01
.01+=+.01