SOLUTION: Candy A sells for $2.50 /kg. Candy B sells for $5.00 /kg. What quantities of each kind of candy should be used to make up a 100 kg mixture to sell for $4.00 /kg?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Candy A sells for $2.50 /kg. Candy B sells for $5.00 /kg. What quantities of each kind of candy should be used to make up a 100 kg mixture to sell for $4.00 /kg?      Log On


   

Question 324539: Candy A sells for $2.50 /kg. Candy B sells for $5.00 /kg. What quantities of each kind of candy should be used to make up a 100 kg mixture to sell for $4.00 /kg?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.A%2BB=100
2.2.5A%2B5B=4%28100%29=400
Multiply eq. 1 by -2.5 and add to eq. 2,
-2.5A-2.5B%2B2.5A%2B5B=-250%2B400
2.5B=150
highlight%28B=60%29
Then from eq. 1,
A%2B60=100
highlight%28A=40%29
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40 kg of Candy A and 60 kg of Candy B.