Answer: The recipe for 18 people needs 3 liters of lemon-lime soda, 1.5 pints of sherbet and 4.5 cups of ice.
Step-by-step explanation: Given that a punch recipe that serves 24 people calls for 4 liters of lemon-lime soda, 2 pints of sherbet, and 6 cups of ice.
We are to find the quantity of each ingredient that would be mixed to make in identical recipe that serves 18 people.
We have
the ratio of the number of 18 people to 24 people is given by
Therefore, the quantity of lemon-lime soda in the new recipe is
the quantity of pints of sherbet is
and the quantity of ice is
Thus, the recipe for 18 people needs 3 liters of lemon-lime soda, 1.5 pints of sherbet and 4.5 cups of ice.