Mio bought $$ x $$ grams of flour. Sol bought $$ \frac{3}{8} $$ more than that. Select ALL of the equations that represent the relationship between the amount of flour that Mio bought, $$ x $$, and the amount of flour that Sol bought, $$ y $$. $$ y=\frac{3}{8} x $$ $$ y=\frac{5}{8} x $$ $$ y=x+\frac{3}{8} x $$ $$ y=x-\frac{3}{8} x $$ $$ y=\frac{11}{8} x $$

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To find the correct equations that represent the relationship between the amount of flour that Mio bought, $$ x $$, and the amount of flour that Sol bought, $$ y $$, we need to analyze the information given:

1. Mio bought $$ x $$ grams of flour.
2. Sol bought $$ \frac{3}{8} $$ more than Mio.

This means that Sol's amount of flour can be expressed as:

$$
y = x + \frac{3}{8}
$$

Now, let's analyze the provided equations one by one:

1. **$$ y = \frac{3}{8} x $$**: This equation suggests that Sol bought $$ \frac{3}{8} $$ of the amount Mio bought, which is incorrect.

2. **$$ y = \frac{5}{8} x $$**: This equation suggests that Sol bought $$ \frac{5}{8} $$ of the amount Mio bought, which is also incorrect.

3. **$$ y = x + \frac{3}{8} x $$**: This can be simplified to $$ y = x(1 + \frac{3}{8}) = x \cdot \frac{11}{8} $$. This is correct because it represents Sol buying $$ x $$ plus $$ \frac{3}{8} $$ of $$ x $$.

4. **$$ y = x - \frac{3}{8} x $$**: This simplifies to $$ y = x(1 - \frac{3}{8}) = x \cdot \frac{5}{8} $$. This is incorrect because it suggests Sol bought less than Mio.

5. **$$ y = \frac{11}{8} x $$**: This is correct as it represents Sol buying $$ x $$ plus $$ \frac{3}{8} $$ of $$ x $$.

Thus, the correct equations that represent the relationship are:

- $$ y = x + \frac{3}{8} x $$
- $$ y = \frac{11}{8} x $$

So the selected equations are:

- $$ y = x + \frac{3}{8} x $$
- $$ y = \frac{11}{8} x $$
The correct equations are: - $$ y = x + \frac{3}{8} x $$ - $$ y = \frac{11}{8} x $$

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