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?

Guest May 13, 2015

#2**+10 **

1 quart = 1/4 gallon

1/3 of this is antifreeze = (1/3)(1/4) = 1/12 gallon

And 2/3 is water......so (2/3)(1/4) = 1/6 gallon

And the half-gallon contains 3/4 antifreeze = (1/2)((3/4) = 3/8 gallon

And the half-gallon contains (1/4) water = (1/2)(1/4) = 1/8 gallon

So...the ratio of antifreeze to water is [ 1/12 + 3/8] / [1/6 + 1/8] = [11/24] / [14/48] = [22 / 14 ] = [11/ 7] or 11 : 7

CPhill
May 13, 2015

#2**+10 **

Best Answer

1 quart = 1/4 gallon

1/3 of this is antifreeze = (1/3)(1/4) = 1/12 gallon

And 2/3 is water......so (2/3)(1/4) = 1/6 gallon

And the half-gallon contains 3/4 antifreeze = (1/2)((3/4) = 3/8 gallon

And the half-gallon contains (1/4) water = (1/2)(1/4) = 1/8 gallon

So...the ratio of antifreeze to water is [ 1/12 + 3/8] / [1/6 + 1/8] = [11/24] / [14/48] = [22 / 14 ] = [11/ 7] or 11 : 7

CPhill
May 13, 2015