Question
Charlotte made a bracelet using red, gray, and white beads.
Five-ninths of the bracelet is white.
The rest of the bracelet has an equal amount of red and gray.
How much of Charlotte's bracelet is gray?
(1 point)
Responses
1/9
2/9
1/3
4/9
Five-ninths of the bracelet is white.
The rest of the bracelet has an equal amount of red and gray.
How much of Charlotte's bracelet is gray?
(1 point)
Responses
1/9
2/9
1/3
4/9
Answers
GPT-4o mini
To find out how much of Charlotte's bracelet is gray, we first need to determine the proportion of the bracelet that is red and gray.
We know that:
- Five-ninths of the bracelet is white.
- The rest of the bracelet is made up of red and gray beads in equal amounts.
1. Calculate the fraction of the bracelet that is not white:
\[
1 - \frac{5}{9} = \frac{4}{9}
\]
This means \(\frac{4}{9}\) of the bracelet is red and gray combined.
2. Since the red and gray amounts are equal, we divide the \(\frac{4}{9}\) equally between red and gray:
\[
\text{Amount of gray} = \frac{4}{9} \div 2 = \frac{4}{9} \cdot \frac{1}{2} = \frac{2}{9}
\]
Thus, the amount of gray in Charlotte's bracelet is \(\frac{2}{9}\).
The correct response is:
**2/9**
We know that:
- Five-ninths of the bracelet is white.
- The rest of the bracelet is made up of red and gray beads in equal amounts.
1. Calculate the fraction of the bracelet that is not white:
\[
1 - \frac{5}{9} = \frac{4}{9}
\]
This means \(\frac{4}{9}\) of the bracelet is red and gray combined.
2. Since the red and gray amounts are equal, we divide the \(\frac{4}{9}\) equally between red and gray:
\[
\text{Amount of gray} = \frac{4}{9} \div 2 = \frac{4}{9} \cdot \frac{1}{2} = \frac{2}{9}
\]
Thus, the amount of gray in Charlotte's bracelet is \(\frac{2}{9}\).
The correct response is:
**2/9**