Question

Most nutritionists now agree that a healthy adult diet should include 25-35g of fiber each day. A breakfast of 2 blueberry muffins, 1 banana, and a 1-cup serving of cereal contains 14g of fiber; a breakfast of 1 blueberry muffin, 1 banana, and a 1-cup serving of cereal contains 16.5g of fiber; and a breakfast of 2 blueberry muffins and a 1-cup serving 11 of cereal contains 11g of fiber. How much fiber is in each of these foods? A. 6.5g

B. 7g
C. 5.5g
D. 5g

Answer 1

The fiber content of each food item is determined using system of equations. A blueberry muffin contains 2.5g of fiber, a banana has 3g, and a 1-cup serving of cereal contains 5g of fiber.

Step-by-step explanation:

To determine the fiber content in each food item, we need to set up a system of equations based on the information provided:

• 2 muffins + 1 banana + 1 cup of cereal = 14g of fiber
• 1 muffin + 1 banana + 1 cup of cereal = 16.5g of fiber
• 2 muffins + 1 cup of cereal = 11g of fiber

Let's assign variables to each food item: m for muffin, b for banana, and c for cereal. We can then translate the above information into the following equations:

• 2m + b + c = 14
• m + b + c = 16.5
• 2m + c = 11

By subtracting the third equation from the first, we find out the fiber content of a banana, which is 3 grams. Subtracting the second equation from the first gives us the fiber content of a muffin, which is 2.5 grams. To find the fiber content of the cereal, we can substitute the values of m and b into any of the equations, revealing that 1 cup of cereal contains 5 grams of fiber. Therefore, the correct answer is D. 5 grams.