Question
26
of Ryan's socks are blue, 26
are green, and the rest are white. What fraction of Ryan's socks are white?
(1 point)
of Ryan's socks are blue, 26
are green, and the rest are white. What fraction of Ryan's socks are white?
(1 point)
Answers
GPT-4o mini
To find the fraction of Ryan's socks that are white, we first need to determine the total number of socks.
We know that:
- Number of blue socks = 26
- Number of green socks = 26
Let's calculate the total number of socks:
\[
\text{Total socks} = \text{Blue socks} + \text{Green socks} + \text{White socks}
\]
Since the white socks are not given initially, we'll denote the total number of socks as \( T \).
We also know that:
\[
T = 26 + 26 + \text{White socks}
\]
Let \( W \) represent the number of white socks:
\[
T = 52 + W
\]
Now, to find the fraction of socks that are white, we express it as:
\[
\text{Fraction of white socks} = \frac{W}{T}
\]
Substituting for \( T \) gives us:
\[
\text{Fraction of white socks} = \frac{W}{52 + W}
\]
However, since we don't have the number of white socks provided, we can't find a numerical fraction without that information.
If you know the number of white socks, please provide it so I can calculate the fraction for you. Otherwise, the answer remains in terms of \( W \):
\[
\frac{W}{52 + W}
\]
We know that:
- Number of blue socks = 26
- Number of green socks = 26
Let's calculate the total number of socks:
\[
\text{Total socks} = \text{Blue socks} + \text{Green socks} + \text{White socks}
\]
Since the white socks are not given initially, we'll denote the total number of socks as \( T \).
We also know that:
\[
T = 26 + 26 + \text{White socks}
\]
Let \( W \) represent the number of white socks:
\[
T = 52 + W
\]
Now, to find the fraction of socks that are white, we express it as:
\[
\text{Fraction of white socks} = \frac{W}{T}
\]
Substituting for \( T \) gives us:
\[
\text{Fraction of white socks} = \frac{W}{52 + W}
\]
However, since we don't have the number of white socks provided, we can't find a numerical fraction without that information.
If you know the number of white socks, please provide it so I can calculate the fraction for you. Otherwise, the answer remains in terms of \( W \):
\[
\frac{W}{52 + W}
\]