Question

Zander’s banana bread recipe calls for 2 3/4 cups of flour. If the recipe was increased by a factor of 1 1/2, how much flour would Zander need?

Answer 1

To increase Zander's banana bread recipe by a factor of 1 1/2, multiply 2 3/4 cups of flour by 1 1/2. This results in 4 1/8 cups of flour required for the increased recipe.

Step-by-step explanation:

Zander's banana bread recipe originally requires 2 3/4 cups of flour. To increase the recipe by a factor of 1 1/2, we need to multiply the amount of flour by this factor.

First, convert the mixed numbers to improper fractions to make the calculation easier. The amount of flour 2 3/4 becomes 11/4 cups when converted to an improper fraction. The factor 1 1/2 becomes 3/2 when converted to an improper fraction.

Now multiply the two fractions:

(11/4) × (3/2) = (11×3) / (4×2) = 33 / 8

Convert the improper fraction back to a mixed number to determine the amount of flour needed. 33/8 is equivalent to 4 1/8 cups. Therefore, Zander will need 4 1/8 cups of flour for the increased recipe.