SOLUTION: A barrel contains 30 gallons of 40% antifreeze. How many gallons of an 80% antifreeze solution should be added to make the barrel contain 50% antifreeze?

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Question 65729This question is from textbook An Incremental Development
: A barrel contains 30 gallons of 40% antifreeze. How many gallons of an 80% antifreeze solution should be added to make the barrel contain 50% antifreeze? This question is from textbook An Incremental Development

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A barrel contains 30 gallons of 40% antifreeze. How many gallons of an 80% antifreeze solution should be added to make the barrel contain 50% antifreeze?
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40% antifreeze DATA:
Amount = 30 gallons ; Amount of active ingredient = 0.40(30)= 12 gallons
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80% antifreeze DATA:
Amount = x gallons ; Amount of active ingredient = 0.80x gallons
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50% Mixture DATA:
Amount = x+30 gallons ; Amount of active ingredient = 0.50(x+30)gallons
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EQUATION:
active + active = active
12 +0.80x = 0.50(x+30)
12+0.08x=0.05x+15
0.03x=3
x=100 gallons of 80% antifreeze must be added.
Cheers,
Stan H.