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

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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) About Me  (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