Question

A punch recipe that serves 24 people calls for 4 Liters of lemon lime soda 2 pints of sherbet and 6 cups of ice how much of each ingredient would you need to make an identical recipe that serves 18 people explain your reasoning.

Answer 1

If we take the amount of people we want to serve and put it over the amount the recipe serves we get this
$\frac{18}{24} = \frac{3}{4}$
We then multiply this times the portion of ingredients the original recipe calls for and get our amount needed to serve only 18 people
$lemon \: lime \: soda \: \\ \frac{3}{4} \times 4 \: liters \: = \frac{12}{4} \: liters = 3 \: liters$
$sherbet \\ \frac{3}{4} \times 2 \: pints \: = \frac{6}{4} \: pints = \frac{3}{2} \: pints$
$ice \\ \frac{3}{4} \times 6 \: cups = \frac{18}{4} \: cups = \frac{9}{2} \: cups$