Question 295581
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 the regular fat yogurt to be added be x lbs.

The no fat yogurt to be added will be 60-x lbs

3%fat means 97% of it has no fat

0% fat means 100% of it is not fat


0.97x +1(60-x)=0.99*60

0.97x+60-x=59.4

-0.03x =-0.6

x=-0.6/-0.03

x=20 lbs. regular fat yugurt

balance 40 lbs 0% yogurt