SOLUTION: A grocer mixes two kinds of nuts. One kind costs $5.00/kg and the other $5.80/kg. How many kilograms of each type are needed to make 40 kg of a blend worth $5.50/kg?

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: A grocer mixes two kinds of nuts. One kind costs $5.00/kg and the other $5.80/kg. How many kilograms of each type are needed to make 40 kg of a blend worth $5.50/kg?      Log On

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Question 167914: A grocer mixes two kinds of nuts. One kind costs $5.00/kg and the other $5.80/kg. How many kilograms of each type are needed to make 40 kg of a blend worth $5.50/kg?
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
5.80x+5.00(20-x)=5.50*20
5.80x+100-5x=110
.80x=110-100
.80x=10
x=10/.80
x=12.5 kg. of $8.50 nuts are used.
20-12.5=7.5 kg. of $5 nuts are used.
proof:
5.80*12.5+5*7.5=5.50*20
72.5+37.5=110
110=110