Amy mixed 2 tablespoons of chocolate syrup in 3/4 cup of milk to make chocolate milk. To make chocolate milk that is mixed in the same ratio and therefore taste the same as Amy's, how much chocolate syrup will you need for 1 gallon of milk?

How much portions of 3/4 cup is in 1 gallon (16 cups)? We have to divide 16 by 3/4, which is the same as multiply 16 by 4/3 (the inverse of 3/4).

16*(4/3) = (16*4)/3 = 64/3 = 21 and 1/3.

For each portion of milk we should take 2 tablespoons. 2 tablespoons taken (21 and 1/3) times is 2*(21 and 1/3) which is equal to 42 and 2/3 (tablespoons).

The answer: 42 and 2/3 tablespoons.

------------------------ We can obtain the same result making a proportion:

2 spoons to 3/4 cup = x spoons to 16 cups.

Therefore x = (16*2)/(3/4) = 32*4/3 = 128/3 = 42 and 2/3.