Question

Bev is is making peanut butter banana bread. She always doubles the amount of nuts and peanut butter chips the total amount of chips and nuts after doubling is 4 1/2 cups. Write and solve an equation to find the original amount of cups of nuts in the recipe.

Answer 1

The original total amount of nuts and peanut butter chips in Bev's peanut butter banana bread recipe was 2 1/4 cups before she doubled them to make a total of 4 1/2 cups.

Step-by-step explanation:

To find the original amount of cups of nuts in Bev's recipe for peanut butter banana bread, we need to set up an equation. Bev doubles the amount of nuts and peanut butter chips, and the total amount after doubling is 4 1/2 cups. Let's denote the original total amount of nuts and chips as 'x' cups. Then, after doubling, 2x = 4 1/2 cups. Now, we can solve for x:

2x = 4 1/2 cups

2x = 9/2 cups (since 4 1/2 cups is the same as 9/2 cups)

x = (9/2) / 2

x = 9/4

x = 2 1/4 cups

Therefore, the original amount of cups of nuts and peanut butter chips in the recipe was 2 1/4 cups.

Answer 2

2x = 4.5

x = 2.25