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

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 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(13828)   (Show Source): You can put this solution on YOUR website!1. 2. Your equations are correct. You could have solved eq. 2 directly to get x=..., then substitute back into 1 to solve for y. . . . Let's see where you went wrong. <---- Here's where you went wrong. You didn't distribute 0.03 through the entire expression. Here's what it should have been. . . . You could have also done it this way to simplify. Divide by 0.03 first, no need to distribute. Divide both sides by .03.