SOLUTION: A mixture of 30 pounds of candy sells for $1.10 a pound. The mixture consists of chocolates worth $1.50 a pound and chocolates worth 90¢ a pound. How many pounds of the $1.50 choco

Algebra ->  Finance -> SOLUTION: A mixture of 30 pounds of candy sells for $1.10 a pound. The mixture consists of chocolates worth $1.50 a pound and chocolates worth 90¢ a pound. How many pounds of the $1.50 choco      Log On


   

Question 265473: A mixture of 30 pounds of candy sells for $1.10 a pound. The mixture consists of chocolates worth $1.50 a pound and chocolates worth 90¢ a pound. How many pounds of the $1.50 chocolate were used to make the mixture?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A mixture of 30 pounds of candy sells for $1.10 a pound. The mixture consists of chocolates worth $1.50 a pound and chocolates worth 90¢ a pound. How many pounds of the $1.50 chocolate were used to make the mixture?
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Value Equation:
value + value = value
1.50x + 0.90(30-x) = 1.10*30
Multiply thru by 10 to get:
15x + 9*30 - 9x = 11*30
6x = 2*30
x = 10 lbs (amt. of 1.50 chocolates in the mixture)
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30-x = 20 lbs (amt. of 0.90 chocolates in the mixture)
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Cheers,
Stan H.