a soup kitchen prepared 2 gallons of soup. how many people can be fed if each serving of soup is 3/4 of a cup?

I know the answer is 42 people but I want to known the formula

Change 2 gallons into cups.

https://www.google.com/webhp?source=search_app#q=gallon+cups

Divide by 3/4.

thanks a lot

You're welcome.

To determine the number of people that can be fed with 2 gallons of soup, we need to convert gallons to cups and then divide by the serving size.

1 gallon is equal to 16 cups, so 2 gallons would be 2 x 16 = 32 cups.

Since each serving of soup is 3/4 of a cup, we divide the total cups of soup by the serving size:

32 cups ÷ (3/4 cup) = 32 cups ÷ (3/4) = 32 cups x (4/3) = 128/3 cups.

To find the number of whole servings, we divide the total cups by the serving size:

(128/3 cups) ÷ (3/4 cup) = 128/3 ÷ 3/4.
We can simplify this division problem by multiplying the numerator (128/3) by the reciprocal of the denominator (4/3):

(128/3) x (4/3) = (128 x 4) / (3 x 3) = 512/9.

To compute the actual number of people, we round this result down to the nearest whole number, as you cannot feed a fraction of a person:

512/9 = 56.9 (rounded down to 56).

Hence, the soup kitchen can feed 56 people with 2 gallons of soup, assuming each serving is 3/4 of a cup.