SOLUTION: how many kg of cashews must be added to 20 kg of peanuts at $3.25 per kg, to get a mixture worth $4.50 per kg solve using linear equation

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: how many kg of cashews must be added to 20 kg of peanuts at $3.25 per kg, to get a mixture worth $4.50 per kg solve using linear equation      Log On


   



Question 125406: how many kg of cashews must be added to 20 kg of peanuts at $3.25 per kg, to get
a mixture worth $4.50 per kg solve using linear equation

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
how many kg of cashews at $6.00 per kg. must be added to 20 kg of peanuts at $3.25 per kg, to get
a mixture worth $4.50 per kg solve using linear equation
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Let amt of cashews be "x" kg ; value is 6x dollars
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Amt of peanuts is 20 kg; value is 20*3.25 = 65 dollars.
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Amt of mixture is "x+20" kg ;value is 4.5(x+20) = 4.5x+90 dollars
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EQUATION:
value + value = value
6x + 65 = 4.5x+90
1.5x = 25
x = 16 2/3 kg (amt of cashews needed for the mixture)
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Cheers,
Stan H.