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The directions on a bottle of vinegar say,"mix 1 cup of vinegar with 1 gallon of water to make a cleaning solution." The ratio of vinegar to water is 1 to 16.
PART A -how many cups of water should be mixed with 1/4 cup of vinegar to make of cleaning solution? PART B -how many fluid ounces of vinegar should be mixed with 80 fluid ounces of water to make the cleaning solution? PART C -the bottle contains 1 quart of vinegar. what is the total number of quarts of cleaning solution that can be made using the entire bottle of vinegar? PART D -a spray bottle holds up to 1 cup of the cleaning solution. When the spray bottle is full, what fraction of the cleaning solution is vinegar?



Answer :

A.  Given a 1:16 vinegar to water ratio, 1/4 cups of water would lead to 1/4*16=4 cups of water.

B.  Using the same ratio, 80/16=5 fluid ounces of vinegar.

C.  Again, using the ratio, 16 quarts of water will be added.  This plus the quart of vinegar is a total of 17 quarts.

D.  1:16 is the vinegar to water ratio.  Thus, for every 1 unit of vinegar, there will be 1+16=17 total units.  Thus, the fraction is 1/17.  Note that the spray bottle does not necessarily need to be full for this solution to work.

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