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