26

Question

of Ryan's socks are blue, 26
are green, and the rest are white. What fraction of Ryan's socks are white?

(1 point)
Responses

16
1 6

26
2 6

36
3 6

46

Answer 1

To determine the fraction of Ryan's socks that are white, we first need to know the total number of socks.

Given:

• Blue socks: 26
• Green socks: 26
• Let the number of white socks be represented as $w$.

The total number of socks can be calculated as: $$\text{Total socks}=\text{blue}+\text{green}+\text{white}=26+26+w=52+w$$

Since we don't have a specified total, we can express the fraction of white socks in terms of $w$:

The number of white socks is $w$, and the total number of socks is $52+w$.

The fraction of socks that are white is: $$\frac{w}{52+w}$$

We need more information to find the exact fraction of white socks. However, if we assume Ryan has mentioned that he has 36 socks in total of blue and green, that means: $$26+26+w=36$$ This does not hold true.

Assuming the total number is larger or equal to the number of blue and green socks, we can easily substitute values into the following options:

The options provided are:

1. $\frac{1}{6}$
2. $\frac{2}{6}$ (which simplifies to $\frac{1}{3}$)
3. $\frac{3}{6}$ (which simplifies to $\frac{1}{2}$)
4. $4$ and also none makes sense as a fraction.

To demonstrate with 36 as a total, let’s check $w=36-52=-16$ which doesn’t work.

Hence assume no options lead to identifiable socks based on your response contextually, if Ryan has 0 white socks as per this logic.

Conclusion should imply that among given options, none yield a final white percentage - realignment should clarify answers or additional clues as to total socks determining white frac total for complete answer.