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

Question 78544: A quart bottle contains a mixture that is 1/3 antifreeze and 2/3 water. A half-gallon bottle contains a mixture that is 3/4 antifreeze and 1/4 water. The contents of the two bottles are poured into a gallon jug. In the form a:b, what is the ratio of antifreeze to water in the jug?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A quart bottle contains a mixture that is 1/3 antifreeze and 2/3 water. A half-gallon bottle contains a mixture that is 3/4 antifreeze and 1/4 water. The contents of the two bottles are poured into a gallon jug. In the form a:b, what is the ratio of antifreeze to water in the jug?
:
Find out how much antifreeze is in the resulting mixture:
Half gallon = 2 quarts; resulting amt = 3 quarts
:
Add up the amt of antifreeze
1/3(1) + 3/4(2)
1/3 + 6/4
4/12 + 18/12 = 22/12 = 11/6 qt of the resulting amt is antifreeze
:
Find the water amt: subtract 11/6 qt from 3 qts:
3 qt = 18/6 qts: 18/6 - 11/6 = 7/6 qt is water
:
(11/6) to 7/6 is a ratio of 11:7

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