Question

A recipe that serves 8 people requires 1 14 cups of flour. How much flour is needed to serve 6 people?
A. 3/4 cup
C. 15/16 cup
B. 7/8 cup
D. 1 1/8 cups

Answer 1

To find out how much flour is needed to serve 6 people, we first need to determine how much flour is required per person.

The recipe serves 8 people with 1 1/4 cups of flour.

1. Convert 1 1/4 to an improper fraction:
\[
1 \frac{1}{4} = \frac{5}{4} \text{ cups of flour}
\]

2. Calculate the amount of flour needed per person:
\[
\text{Flour per person} = \frac{5}{4} \text{ cups} \div 8 = \frac{5}{4} \times \frac{1}{8} = \frac{5}{32} \text{ cups per person}
\]

3. Now multiply by the number of people (6) to find the total flour needed:
\[
\text{Total flour for 6 people} = \frac{5}{32} \times 6 = \frac{5 \times 6}{32} = \frac{30}{32} = \frac{15}{16} \text{ cups}
\]

So, the amount of flour needed to serve 6 people is:
\[
\frac{15}{16} \text{ cup}
\]

The correct answer is C. \( \frac{15}{16} \) cup.