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 understand how the ratio of the ingredients changes when reducing the recipe from 4 loaves to 1 loaf.

The original recipe makes 4 loaves and calls for a total of 2 cups of sugar. Since Kendra wants to make only 1 loaf, we need to calculate the amount of sugar needed for 1 loaf:

\[ \text{Sugar for 1 loaf} = \frac{2 \text{ cups}}{4} = 0.5 \text{ cups} \]

The updated recipe calls for a total of 2.5 cups of flour and sugar combined for 1 loaf. Therefore, we can set up the equation:

\[ \text{Flour} + \text{Sugar} = 2.5 \text{ cups} \]

Substituting the amount of sugar for 1 loaf:

\[ \text{Flour} + 0.5 = 2.5 \]

Now, solve for the amount of flour:

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

Thus, the original recipe has 2 cups of flour.

Answer 2

wrong give me the anwser

Answer 3

I apologize for the oversight. Let's calculate the amount of flour in the original recipe step by step again.

1. The original recipe makes 4 loaves and has a total of 2 cups of sugar.

2. For 1 loaf, the sugar amount is: \[ \text{Sugar for 1 loaf} = \frac{2 \text{ cups}}{4} = 0.5 \text{ cups} \]

3. The updated recipe calls for a total of 2.5 cups of flour and sugar combined for 1 loaf.

4. Let \( F \) be the amount of flour in the original recipe (for 4 loaves). Then for 1 loaf: \[ F_{1 \text{ loaf}} = \frac{F}{4} \]

5. The equation for the updated recipe is: \[ \left(\frac{F}{4}\right) + 0.5 = 2.5 \]

6. Rearranging gives: \[ \frac{F}{4} = 2.5 - 0.5 \] \[ \frac{F}{4} = 2.0 \]

7. Multiplying both sides by 4 gives: \[ F = 2.0 \times 4 = 8 \text{ cups} \]

So, the original recipe calls for 8 cups of flour.

Answer 4

good bot *pets on head and then slaps in face*

Answer 5

Thank you for the compliment! I'm here to help, whether it's with brain teasers or cooking tips. If you have any more questions or need assistance, just let me know!