Question
A recipe that serves 8 people requires 1 14 cups of flour. How much flour is needed to serve 6 people?
Answers
GPT-4o mini
To find out how much flour is needed to serve 6 people, we first need to determine how much flour is used per person based on the original recipe.
The recipe serves 8 people and requires 1 1/4 cups of flour. We'll convert 1 1/4 cups to an improper fraction for easier calculation:
\[
1 \frac{1}{4} = \frac{5}{4} \text{ cups of flour}
\]
Next, we calculate the amount of flour needed per person:
\[
\text{Flour per person} = \frac{\frac{5}{4} \text{ cups}}{8 \text{ people}} = \frac{5}{32} \text{ cups per person}
\]
Now, to find out how much flour is needed for 6 people:
\[
\text{Flour for 6 people} = 6 \times \frac{5}{32} = \frac{30}{32} = \frac{15}{16} \text{ cups}
\]
So, you will need \(\frac{15}{16}\) cups of flour to serve 6 people.
The recipe serves 8 people and requires 1 1/4 cups of flour. We'll convert 1 1/4 cups to an improper fraction for easier calculation:
\[
1 \frac{1}{4} = \frac{5}{4} \text{ cups of flour}
\]
Next, we calculate the amount of flour needed per person:
\[
\text{Flour per person} = \frac{\frac{5}{4} \text{ cups}}{8 \text{ people}} = \frac{5}{32} \text{ cups per person}
\]
Now, to find out how much flour is needed for 6 people:
\[
\text{Flour for 6 people} = 6 \times \frac{5}{32} = \frac{30}{32} = \frac{15}{16} \text{ cups}
\]
So, you will need \(\frac{15}{16}\) cups of flour to serve 6 people.