Question

Sonia is making cookies. The original recipe requires 2 1/4 cups of flour. Sonia wants to make 3 1/2 times the original recipe. How many cups of flour will she need?

Answer 1

To make 3 1/2 times the original recipe, Sonia will need 7 7/8 cups of flour.

Step-by-step explanation:

To find out how many cups of flour Sonia will need, we need to multiply the original recipe amount by the scaling factor.

The scaling factor is 3 1/2, which can be written as a mixed number as 3 + 1/2.

So, to calculate the amount of flour Sonia will need, we can multiply 2 1/4 cups by 3 + 1/2:

1. Convert the mixed number 3 + 1/2 to an improper fraction:

3 + 1/2 = (3 * 2 + 1) / 2 = 7/2

1. Multiply 2 1/4 cups by 7/2:

2 1/4 * 7/2 = (9/4) * (7/2) = 63/8 = 7 7/8

Therefore, Sonia will need 7 7/8 cups of flour to make 3 1/2 times the original recipe.

Learn more about Multiplying fractions and mixed numbers