Kendra is making bread, but the recipe she’s using makes 4 loaves. She only wants to make one loaf. The changed recipe calls for 2 1/2

Question

cups of flour and sugar combined. If the original recipe calls for 2 cups of sugar, find the amount of flour (in cups) in the original recipe.(1 point)

Answer 1

Let \( F \) represent the amount of flour in cups in the original recipe. According to the information given:

1. The original recipe makes 4 loaves and uses a total of 2 cups of sugar and \( F \) cups of flour.
2. The recipe for 4 loaves uses a combined total of flour and sugar accounting for a total of \( F + 2 \) cups.
3. When Kendra modifies the recipe for 1 loaf, she reduces the total amount of flour and sugar to 2 1/2 cups.

Since the original recipe makes 4 loaves and she wants to make only 1 loaf, we divide the total amount of flour and sugar by 4 to find the amount for 1 loaf:

\[ \frac{F + 2}{4} = 2.5 \quad \text{(Kendra's modified recipe for 1 loaf)} \]

Now we can solve this equation:

\[ F + 2 = 2.5 \times 4 \] \[ F + 2 = 10 \] \[ F = 10 - 2 \] \[ F = 8 \]

Thus, the amount of flour in the original recipe is \( 8 \) cups.