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
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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) (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.
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