Question 301550
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 3% yoghurt means 97% no fat = x lbs
 
No fat yoghurt will be y lbs = 100% no fat

x+y=60

0.97x+1y=0.99*60

0.97x+y=59.4

x-0.97x +y-y= 60-59.4

0.03x =0.6

x= 0.6 / 0.03

x= 20 lbs that is 3% fat

Balance 40 lbs will be no fat yoghurt = 40 lbs