SOLUTION: A quart bottle contains a mixture that is 1/3 antifreeze, 2/3 water. A half gallon bottle contains a mixture that is 3/4 antifreeze, 1/4 water. The contents of the two bottles are

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: A quart bottle contains a mixture that is 1/3 antifreeze, 2/3 water. A half gallon bottle contains a mixture that is 3/4 antifreeze, 1/4 water. The contents of the two bottles are       Log On


   

Question 995189: A quart bottle contains a mixture that is 1/3 antifreeze, 2/3 water. A half gallon bottle contains a mixture that is 3/4 antifreeze, 1/4 water. The contents of the two bottles are poured into a gallon jug. What is the ratio (one integer to another, in the form a:b) of antifreeze to water in the jug?
I need to explain the process to solving this word problem - HELP!
Answer by josgarithmetic(39838) About Me  (Show Source):
You can put this solution on YOUR website!
Keep all volume units as GALLONS or their fractions, and keep track of how much volume of the antifreeze (as if pure) and the water.

The Quart:
%281%2F3%29%281%2F4%29%2Agallon antifreeze
%282%2F3%29%281%2F4%29%2Agallon water

The Half-Gallon:
%283%2F4%29%281%2F2%29%2Agallon antifreeze
%281%2F4%29%281%2F2%29%2Agallon water

ALL COMBINED
-
Antifreeze, %281%2F3%29%281%2F4%29%2B%283%2F4%29%281%2F2%29
1%2F12%2B3%2F8
2%2F24%2B9%2F24
11%2F24
Water, %282%2F3%29%281%2F4%29%2B%281%2F4%29%281%2F2%29
2%2F12%2B1%2F8
4%2F24%2B3%2F24
7%2F24
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This new combined mixture is 11%2F24 gallons antifreeze and 7%2F24 gallons water. Ratio of antifreeze to water is 11:7.