Question 212716
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/.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