Question

Prahar wants to bake homemade apple pies for the school bake sale. The recipe for the filling of a homemade apple pie that serves 8 consists of the following:

three fourths cup sugar
three fifths teaspoon cinnamon
one eighth teaspoon ground nutmeg
one fourth teaspoon salt

Prahar would like to serve 20 people. Choose one of the ingredients from the recipe and determine the amount he would need for a serving of this size. Set up the proportion and show all necessary work using fractions or decimals.​

Answer 1

To determine the amount of one of the ingredients Prahar would need for a serving of 20 people, we can use a proportion.
Let's use sugar as an example:

The recipe calls for 3/4 cup of sugar to serve 8 people. We can set up a proportion to find out how much sugar is needed for 20 people:

3/4 cup sugar ÷ 8 servings = x ÷ 20 servings

To solve for x, we can cross-multiply: 8x = 3/4 cup sugar × 20 servings 8x = 15 cups sugar x = 15/8 cup sugar

So Prahar would need 15/8 cup (or 1 7/8 cups) of sugar for 20 servings of homemade apple pie filling.

Answer 2

five eighth teaspoon salt would be required

Explanation:

let's take the salt from the recipe and determine it's amount Prahar needs to serve 20 people.

8 people needs 1/4 teaspoon salt

for 20 people the proportion would be,

(1/4) / 8 = x / 20

(1/4) / 8 * 20 = x

thus, x = 5/8

five eighth teaspoon salt would be required to bake apple pies for 20 people