SOLUTION: A restaurant has one type of lemonade that is 12% sugar and another that is 7% sugar. How many gallons of each type does the restaurant need to make 20 gallons of a lemonade mixtur

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Question 935191: A restaurant has one type of lemonade that is 12% sugar and another that is 7% sugar. How many gallons of each type does the restaurant need to make 20 gallons of a lemonade mixture that is 10% sugar?
I think the answer is 8 gallons of 12% lemonade and 12 gallons of 7% lemonade
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
A restaurant has one type of lemonade that is 12% sugar and another that is 7% sugar. How many gallons of each type does the restaurant need to make 20 gallons of a lemonade mixture that is 10% sugar?
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let x=amt of 12% sugar lemonade
20-x=amt of 7% sugar lemonade
..
12%x+7%(20-x)=10%*20
.12x+1.4-.07x=2
.05x=0.6
x=12
20-x=8
amt of 12% sugar lemonade needed:12 gal.
amt of 7% sugar lemonade needed: 8 gal.