this is a proportional question.
You are given that 32 ounces of juice make 2 gallons of punch. With this, you are asked to find how many ounces of juice (n) are needed to make 6 gallons of juice. This is, in fact, a proportionality problem and one way of approaching is by the following:
32 ounces / 2 gallons = n ounces / 6 gallons
32 / 2 = n / 6
cross multiply and solve for n
32 · 6 = 2 · n
192 = 2n
divide both sides of the equation by 2
96 = n
Therefore, 96 ounces of juice are required to make 6 gallons of punch.