SOLUTION: How many gallons of 50% antifreeze solution must be mixed with 100 gallons of 30% antifreeze to get a mixture that is 40% antifreeze?

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Question 466907: How many gallons of 50% antifreeze solution must be mixed with 100 gallons of 30% antifreeze to get a mixture that is 40% antifreeze?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
How many gallons of 50% antifreeze solution must be mixed with 100 gallons of 30% antifreeze to get a mixture that is 40% antifreeze?
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Equation:
alcohol + alcohol = alcohol
0.50x + 0.30*100 = 0.40(x+100)
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Multiply thru by 100 to get:
50x + 30*100 = 40x + 40*100
10x = 10*100
x = 100 gallons (amt. of 50% solution needed)
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Cheers,
Stan H
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