We’re making a big pot of soup for a family gathering. The recipe calls for 3 cups of broth, 2 quarts of water, and 1 pint of diced tomatoes. If we want to make enough soup to serve 15 people, how many gallons of soup will we need to make?

To make soup for 15 people with correct ingredient proportions, calculate the total volume and convert it to gallons.

The recipe calls for:

3 cups of broth

2 quarts of water

1 pint of diced tomatoes

Let’s convert these measurements to a common unit (cups):

3 cups of broth

8 cups of water \$(2 "quarts" \times (4 "cups")/("quart") )\$

2 cups of diced tomatoes \$(1 "pint" \times (2"cups")/("quart")) \$

Now, add these together to find the total volume of soup for the original recipe:

3 cups + 8 cups + 2 cups = 13 cups

Now, we need to scale this up to 15 people. To do that, divide the total volume by the number of servings in the original recipe (1 person):

\$ (13 "cups") / (1 "person")\$ = 13 cups per person

Now, we want to make enough soup for 15 people, so we can simply multiply the amount per person (13 cups) by the number of people (15):

\$("13 cups") / ("person") \times ("15 people") = ("195 cups")\$

To convert 195 cups to gallons, remember that there are 16 cups in a gallon:

\$ (195 "cups") / (16 "cups") / ("gallon")\$ = 12.1875 gallons

We will need approximately 12.19 gallons of soup to serve 15 people while maintaining the given ingredient proportions.

Answer

D