SOLUTION: college algebra - Fifty liters of pure maple syrup that costs $9.50 per liter are mixed with imitation maple syrup that costs $ 4.00 per liter. How much imitation maple syrup is ne
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Question 489877: college algebra - Fifty liters of pure maple syrup that costs $9.50 per liter are mixed with imitation maple syrup that costs $ 4.00 per liter. How much imitation maple syrup is needed to make a mixture that costs $5.00 per liter? Found 2 solutions by stanbon, nerdybill:Answer by stanbon(75887) (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 maple syrup that costs $ 4.00 per liter. How much imitation maple syrup is needed to make a mixture that costs $5.00 per liter?
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Equation:
value + value = value
50*9.5 + 4x = 5(50+x)
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Multiply thru by 10 to get;
50*95 + 40x = 50*50 + 50x
10x = 45*50
x = 9 liters (amt of $4 syrup needed)
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Cheers,
Stan H.
You can put this solution on YOUR website! Fifty liters of pure maple syrup that costs $9.50 per liter are mixed with imitation maple syrup that costs $ 4.00 per liter. How much imitation maple syrup is needed to make a mixture that costs $5.00 per liter?
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Let x = amount (liters) of imitation maple
then
50(9.50) + x(4) = (50+x)5
475 + 4x = 250+5x
475 = 250+x
200 liters = x
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