# SOLUTION: Ziggy’s Famous Yogurt blends regular yogurt that is 3% fat with its no-fat yogurt to obtain lowfat yogurt that is 1% fat. How many pounds of regular yogurt and how many pounds of

Algebra ->  Algebra  -> Coordinate Systems and Linear Equations -> SOLUTION: Ziggy’s Famous Yogurt blends regular yogurt that is 3% fat with its no-fat yogurt to obtain lowfat yogurt that is 1% fat. How many pounds of regular yogurt and how many pounds of       Log On

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 Click here to see ALL problems on Linear-systems Question 177235: Ziggy’s Famous Yogurt blends regular yogurt that is 3% fat with its no-fat yogurt to obtain lowfat 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?Found 2 solutions by Mathtut, gonzo:Answer by Mathtut(3670)   (Show Source): You can put this solution on YOUR website!let x and y be the amount of 3% fat and 0% fat yogurt, respectively : x+y=60.......eq 1 .03x+0(y)=.01(60) : .03x=.6 : pounds of 3% fat yogurt : pounds of 0% fat yogurt Answer by gonzo(654)   (Show Source): You can put this solution on YOUR website!let x = pounds of regular yogurt (3% fat) let y = pounds of no fat yogurt (0% fat) 60 = pounts of low fat yogurt (1% fat) you have two simultaneous equations that need top be solved. they are: .03 * x + .00 * y = .01 * 60 x + y = 60 from the second formula, you can determine that: y = 60 - x the second formula is: .03 * x + .00 * y = .01 * 60 which becomes: .03 * x = .01 * 60 because the y cancels out. divide both sides by .03 to get: x = (.01*60)/.03 = 20 looks like you need 20 pounds of regular yogurt. since y = 60 - x, the amount of no fat yogurt required is 40 pounds. to prove, substitute in the original equation. .03 * 20 + .00 * 40 = .03 * 60 this becomes: .6 = .6 equation is true. value of 20 pounds of regular yogurt mixed with 40 pounds of no fat yogurt is good. your answer is: 20 pounds of regular yogurt needs to be mixed with 40 pounds of no fat yogurt to get 60 pounds of low fat yogurt.