SOLUTION: fifty liters of pure maple syrup that costs $9.50 per liter are mixed with imitation syrup that costs $4.00 per liter. how much imitation syrup is needed to make a mixture that cos

Algebra ->  Test -> SOLUTION: fifty liters of pure maple syrup that costs $9.50 per liter are mixed with imitation syrup that costs $4.00 per liter. how much imitation syrup is needed to make a mixture that cos      Log On


   

Question 258614: fifty liters of pure maple syrup that costs $9.50 per liter are mixed with imitation syrup that costs $4.00 per liter. how much imitation syrup is needed to make a mixture that costs $5.00 per liter?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
fifty liters of pure maple syrup that costs $9.50 per liter are mixed with imitation syrup that costs $4.00 per liter. how much imitation syrup is needed to make a mixture that costs $5.00 per liter?
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Equation:
value + value = value
9.50*50 + 4.00x = 5.00(50+x)
Multiply thru by 100 to get:
950*50 + 400x = 500*50 + 500x
100x = 450*50
x = (1/2)450
x = 225 liters (amount of $4.00 syrup needed in the mixture
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Cheers,
Stan H.
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