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 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

To find the amount of flour in the original recipe, we first need to determine the total amount of flour and sugar in the original recipe.

The original recipe makes 4 loaves and uses 2 cups of sugar. Since Kendra is making only 1 loaf, we can scale down the sugar accordingly. The original recipe uses:

• Sugar in the original recipe: 2 cups
• For 1 loaf: \( \frac{2 \text{ cups}}{4} = 0.5 \text{ cups}\)

Now, we know from Kendra's adjusted recipe that the total amount of flour and sugar combined for 1 loaf is 2.5 cups.

Let \( F \) be the amount of flour in the original recipe for 1 loaf. Then, the equation for the total amount of flour and sugar for 1 loaf is:

\[ F + 0.5 \text{ cups of sugar} = 2.5 \text{ cups} \]

To find \( F \), we can rearrange the equation:

\[ F = 2.5 \text{ cups} - 0.5 \text{ cups} = 2 \text{ cups} \]

Thus, the amount of flour in the original recipe is \( 2 \) cups.

Therefore, the original recipe uses 2 cups of flour.