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 in identical recipe that serves 18 people? explain your reasoning.....using ratios        

please help!!!

my teacher didn't teach s this but she gave it for homework

Answer 1

Find out how much you need for one person then multiply by 18 is one way you could do this..

4 divided by 24 = 0.166666666666667 x 18 = 3 litres of lemon-lime soda.

2 divided by 24 = 0.083333333333333 x 18 = 1.5 pints of servet

6 divided by 24 = 0.25 x 18 = 4.5 cups of ice.

Hope this helps!
Your teacher may have wanted you to (some how) use your 6x tables to work this out?!

Answer 2

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

$\dfrac{18}{24}=\dfrac{3}{4}.$

Therefore, the quantity of lemon-lime soda in the new recipe is

$4\times\dfrac{3}{4}=3~\textup{liters},$

the quantity of pints of sherbet is

$2\times\dfrac{3}{4}=1.5~\textup{pints}$

and the quantity of ice is

$6\times\dfrac{3}{4}=4.5~\textup{cups}.$

Thus, the recipe for 18 people needs 3 liters of lemon-lime soda, 1.5 pints of sherbet and 4.5 cups of ice.