Answer :
The correct option is 3) [tex]\(\frac{3}{5}\)[/tex] tablespoon of salt is needed for each tablespoon of vinegar.
To find out how many tablespoons of salt are needed for each tablespoon of vinegar, we need to calculate the ratio of salt to vinegar. According to the problem, Alan mixes 3 tablespoons of salt with 5 tablespoons of vinegar.
The ratio of salt to vinegar is therefore 3 tablespoons of salt for every 5 tablespoons of vinegar. To express this as a fraction, we write it as [tex]\(\frac{3}{5}\)[/tex] tablespoon of salt per tablespoon of vinegar.
This means that for each tablespoon of vinegar used in the cleaning solution, [tex]\(\frac{3}{5}\)[/tex] of a tablespoon of salt is required. This ratio ensures that the correct proportions are maintained when scaling the recipe up or down.
To summarize, the correct answer to the question is that [tex]\(\frac{3}{5}\)[/tex] tablespoon of salt is needed for each tablespoon of vinegar, which corresponds to option 3.
