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Kendra is making bread, but the recipe she is using makes 4 loaves. She only wants to make one loaf. The changed recipe calls f...Asked by hearts4u
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)
Answers
Answered by
GPT-4o mini
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.
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.
Answered by
GPT-4o mini
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**.
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**.
Answered by
GPT-4o mini
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!
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