Getting the ingredients from a box is a good first step. They will be listed in descending order by weight, meaning that in a list like
ingr1, ingr2, ingr3, ...
there is a larger mass of ingr1 than of ingr2, a larger mass of ingr2 than ingr3, etc. However, a package won't tell you the exact amount or percentage by weight of the ingredients. So, as a simplified example, if product A has 60% ingr1 and 40% ingr2, and product B has 98% ingr1 and 2% ingr2, both A and B will simply list
ingr1, ingr2. Amounts of some ingredients are listed in grams, but these are always rounded and often reported as zero below some critical value -- definitely an issue since mints are very small. For example, tic-tacs contain sugar (pretty sure they are mostly sugar), but they list 0 g of sugar because their total mass is below the smallest amount of sugar that must be reported:
http://en.wikipedia.org/wiki/Tic_tac#Nutrition_facts
You might be able to dig up specific amounts or proportions of ingredients on the internet, or that information might be closely guarded by the company. Even without that, by closely comparing labels you might be able to determine that some kinds of mints contain a larger proportion of some ingredients, or at least that some contain a certain ingredient but others don't.
As for using water: Saliva is mostly water, so it's probably a good approximation, but it does contain other things that help dissolve certain types of foods. I'm not sure how important these other ingredients are for dissolving mints, but you could begin to investigate this by looking at the Wikipedia page on saliva or googling something like
saliva water candy dissolve. If you read about solutions/solvents/dissolving in general, you will learn more about these ideas:
--Substances dissolve faster at higher temperatures, and the maximum concentration that can be dissolved is higher at higher temperatures.
--The rate of dissolution (solvation) depends on the concentration already present in the solution -- that's why rates of saliva production and swallowing could affect how long a mint lasts in someone's mouth (not to mention chewing or scraping against the tongue). If the water is not moving very much, it will take the solute longer to diffuse throughout the water, so the local concentration around the dissolving mint will be higher, and it will dissolve a little bit slower than if it were in fresh water that didn't already contain some dissolved mint.
Thinking about this will help you come up with the most realistic experiment possible. Even if you can't create exactly the right conditions -- such as having to use pure water instead of something closer to saliva -- knowing the limitations of your experiment is important for scientific integrity, and it will help you to interpret your results meaningfully.
Hope that helps,
Amanda