Question 1120516
the first jar has water to vinegar in the ratio of 2/1.


this means 2 parts of water to 1 part of vinegar for a total of 3 parts.


the ratio of water to total mixture in the first jar is therefore 2/3.


the second jar has water to vinegar in the ratio of 3/1.


this means 3 parts of water to 1 part of vinegar for a total of 4 parts.


the ratio of water to total mixture in the second jar is therefore 3/4.


the amount of total mixture in each jar is the same.


if we let x equal the total mixture in each jar, then the amount of water in the first jar is 2/3 * x and the amount of water in the second jar is 3/4 * x.


when you add both jars into a combined jar, the total mount of mixture in the combined jar is 2 * x.


the total amount of water in the combined jar is 2/3 * x + 3/4 * x = 17/12 * x.


the ratio of water to total mixture in the combined jar is therefore (17/12) / 2.


this results in a ratio of water to total mixture in the combined jar of 17/24.


this means there are 17 parts of water and (24 - 17) = 7 parts of vinegar in the combined jar.


this means the ratio of water to vinegar in the combined jar is 17/7.


that's your solution.