Final answer:
To make 18 cups of punch as per the given ratio, we calculate that each part is ⅓ cups, and since sherbet makes up 3 parts, a total of 9 cups of sherbet is needed.
Step-by-step explanation:
To determine how much sherbet is needed for the punch recipe, where the proportion is 1 part cream, 1 part soda, 2 parts pineapple-orange juice, and 3 parts sherbet for a total of 18 cups of punch, we must first calculate the total number of parts in the recipe. The sum of the parts is 1 (cream) + 1 (soda) + 2 (juice) + 3 (sherbet) = 7 parts. Therefore, if 18 cups of punch represents 7 parts, each part is equal to ⅓ cups (18 divided by 7).
Since sherbet constitutes 3 parts of the total, we multiply the size of one part (⅓ cups) by 3, which gives us: ⅓ x 3 = ⅔ cups = 9 cups of sherbet.