SOLUTION: I need to write a system of two equations in two unknowns for the problem and I don't have a clue.... can you help? Ziggy's Famous Yogurt blends regular yogurt that is 3% fat wi

Question 301550: I need to write a system of two equations in two unknowns for the problem and I don't have a clue.... can you help?
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?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
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?

let 3% yoghurt means 97% no fat = x lbs

No fat yoghurt will be y lbs = 100% no fat
x+y=60
0.97x+1y=0.99*60
0.97x+y=59.4
x-0.97x +y-y= 60-59.4
0.03x =0.6
x= 0.6 / 0.03
x= 20 lbs that is 3% fat
Balance 40 lbs will be no fat yoghurt = 40 lbs

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