SOLUTION: A man wants to blend 30kg of coffee and each kilo cost $4.80. One brand of coffee cost $6 dollars and $4 dollars for a kilo. How much kilos of each brand of coffee should be used

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Question 539307: A man wants to blend 30kg of coffee and each kilo cost $4.80.
One brand of coffee cost $6 dollars and $4 dollars for a kilo. How
much kilos of each brand of coffee should be used?
Found 2 solutions by josmiceli, AnlytcPhil:
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = kg of $6/kg coffee needed
Let = kg of $4/kg coffee needed
given:
= cost of $6 coffee
= cost of $4 coffee
----------------------
(1) kg
(2) dollars
-------------------------
(2)
(2)
Multiply both sides of (1) by and
subtract (1) from (2)
(2)
(1)

and, since
(1)
(1)
12 kg of $6/kg coffee are needed
18 kg of $4/kg coffee are needed
check:
(2)
(2)
(2)
(2)
(2)
OK
Answer by AnlytcPhil(1806)   (Show Source): You can put this solution on YOUR website!
A man wants to blend 30kg of coffee and each kilo cost $4.80.
One brand of coffee cost $6 dollars and $4 dollars for a kilo. How
much kilos of each brand of coffee should be used?
Suppose we mix x kg of the $6 coffee with y kg of the $4 coffee.
Then we have two equations, a coffee equation and a money equation:

The coffee equation comes from

          +  =   


                          x + y = 30

The money equation comes from
    
          +  =   

                        $6x + $4y = ($4.80)(30)
                          6x + 4y = 144

So solve this system of equations:

                         x +  y =  30
                        6x + 4y = 144


Answer: Mix 12 kgs of the more expensive coffee and 18 kgs of the cheaper coffee

Edwin
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