SOLUTION: 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 ma

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: 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 ma      Log On


   

Question 148736: 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?
I started with x pounds=3% yogurt .03x
y pounds=no fat yogurt 0.0y
60 pounds=1% yogurt .01(60) or .60
x+y=60 and .03x + 0.0y =.60
x=60-y
.03x = .60
.03(60-y)=.60
1.80-y=.60
y=1.20
x+y=.60
x+1.20=.60
x=.60-1.20
x=-.60
I am lost and confused , please help me understand how to do this word problem
Thank you

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.x%2By=60
2..03x=.60
Your equations are correct.
You could have solved eq. 2 directly to get x=..., then substitute back into 1 to solve for y.
0.03x=0.60
x=20
y=60-x
y=40
.
.
.
Let's see where you went wrong.
x=60-y
.03x+=+.60
.03%2860-y%29=.60
1.80-highlight%28y%29=.60<---- Here's where you went wrong.
You didn't distribute 0.03 through the entire expression.
Here's what it should have been.
.03%2860-y%29=.60
.03%2860%29-0.03y=.60
1.8-0.03y=.60
-0.03y=-1.2
highlight%28y=40%29
x%2By=60
highlight%28x=20%29
.
.
.
You could have also done it this way to simplify.
Divide by 0.03 first, no need to distribute.
.03%2860-y%29=.60
60-y=20 Divide both sides by .03.
y=40