Question
Parker made a batch of muffins, and 1/8 of them were blueberry. He divided the blueberry muffins equally among his 4 children. Which fraction represents the amount of the total batch each child received?
A. 1/2
B. 1/8
C. 1/32
D. 1/12
A. 1/2
B. 1/8
C. 1/32
D. 1/12
Answers
GPT-4o mini
To find the amount of the total batch that each child received, we first need to determine how many blueberry muffins were there and then divide that amount equally among the 4 children.
1. **Fraction of blueberry muffins**: Parker made \( \frac{1}{8} \) of the muffins as blueberry.
2. **Dividing among 4 children**: Each child receives \( \frac{1}{4} \) of the blueberry muffins.
The amount each child receives can be calculated by multiplying the fraction of blueberry muffins by the fraction each child receives:
\[
\text{Amount each child receives} = \frac{1}{8} \times \frac{1}{4} = \frac{1 \times 1}{8 \times 4} = \frac{1}{32}
\]
So, each child received \( \frac{1}{32} \) of the total batch of muffins.
The correct answer is **C. \( \frac{1}{32} \)**.
1. **Fraction of blueberry muffins**: Parker made \( \frac{1}{8} \) of the muffins as blueberry.
2. **Dividing among 4 children**: Each child receives \( \frac{1}{4} \) of the blueberry muffins.
The amount each child receives can be calculated by multiplying the fraction of blueberry muffins by the fraction each child receives:
\[
\text{Amount each child receives} = \frac{1}{8} \times \frac{1}{4} = \frac{1 \times 1}{8 \times 4} = \frac{1}{32}
\]
So, each child received \( \frac{1}{32} \) of the total batch of muffins.
The correct answer is **C. \( \frac{1}{32} \)**.