SOLUTION: write a system of two equations in two unknowns. Ziggy's famous yougurt blends regular yogurt that is 3% fat with its no fat yogurt to obtain low fat yogurt that is 1% fat. How may

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: write a system of two equations in two unknowns. Ziggy's famous yougurt blends regular yogurt that is 3% fat with its no fat yogurt to obtain low fat yogurt that is 1% fat. How may      Log On


   

Question 259714: write a system of two equations in two unknowns. Ziggy's famous yougurt blends regular yogurt that is 3% fat with its no fat yogurt to obtain low fat yogurt that is 1% fat. How may pounds of regular yogurt and how many pounds of no fat yogurt should be mixed to obtain 60 pounds of low fat yogurt?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
write a system of two equations in two unknowns. Ziggy's famous yougurt blends regular yogurt that is 3% fat with its no fat yogurt to obtain low fat yogurt that is 1% fat. How may pounds of regular yogurt and how many pounds of no fat yogurt should be mixed to obtain 60 pounds of low fat yogurt?
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Equations:
Quantity Eq.: x + y = 60
Fat Eq.....:0.03x+0*y = 0.01(60)
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Multiply thru the "Fat" equation by 100 to get:
x + y = 60
3x = 60
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x = 20 lbs (amt. of 3% yogurt needed in the mixture)
y = 60-20 = 40 lbs (amt. of 0% yogurt needed in the mixture)
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Cheers,
Stan H.