Question

1. A recipe for 6servings of Lasagna uses 16 ounces of Italian Sausage.

a. If the recipe were to be made for 15 servings, how many ounces of Italian Sausage would be needed?

b. How many servings of Lasagna can be made with 24 ounces of Italian Sausage?

Answer 1

For 15 servings of Lasagna, 40 ounces of Italian Sausage would be needed. With 24 ounces of Italian Sausage, you can make 9 servings of Lasagna. This is determined through setting up and solving proportional relationships based on the original recipe.

Step-by-step explanation:

Proportional Relationships in Recipes

To find out how much Italian Sausage is needed for 15 servings of Lasagna, we use a proportional relationship based on the original recipe. If 16 ounces of sausage is used for 6 servings, then we can find the amount for 15 servings by setting up a proportion:

16 ounces / 6 servings = x ounces / 15 servings

Cross multiplying gives:

(16 ounces) × (15 servings) = x ounces × (6 servings)

Therefore:

(16 × 15) / 6 = x

(240) / 6 = x

x = 40 ounces

So, you would need 40 ounces of Italian Sausage for 15 servings of Lasagna.

To determine how many servings can be made with 24 ounces of Italian Sausage, we set up another proportion:

16 ounces / 6 servings = 24 ounces / y servings

Cross multiplying gives:

(16) × (y) = (24) × (6)

Therefore:

(144) / 16 = y

y = 9 servings

You can make 9 servings of Lasagna with 24 ounces of Italian Sausage.

Answer 2

a) 40 oz

b) 64 oz

Step-by-step explanation:

a) you can use the ratio of 6/16 = 15/x and cross-multiply

b) you can use the ratio of 6/16 = 24/x and cross-multiply