SOLUTION: A candy store owner has two types of candy. Gummy bears are 89 cents per kilogram, and chocolate is $1.10 per kilogram. How many kilograms of each are needed to make a mix of 30 ki

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Question 604140: A candy store owner has two types of candy. Gummy bears are 89 cents per kilogram, and chocolate is $1.10 per kilogram. How many kilograms of each are needed to make a mix of 30 kilograms that is $.96 per kilogram?
Answer by alicealc(293) About Me  (Show Source):
You can put this solution on YOUR website!
Gummy bears = x kilograms
Chocolate = (30 - x) kilograms

0.89*x + 1.1*(30- x) = 0.96*30
0.89x + 33 - 1.1x = 28.8
33 - 28.8 = -0.89x + 1.1x
4.2 = 0.21x
x = 4.2/0.21 = 420/21 = 20

so, we need 20 kilograms of gummy bears and 30-20 = 10 kilograms of chocolate