To find the ratio of shaded parts to unshaded parts based on the information provided, we can start by examining the total counts of shaded and unshaded squares.
You mentioned:
- 6 unshaded squares
- 9 shaded squares
To determine the ratio of shaded parts to unshaded parts, we can form the ratio as follows:
\[ \text{Ratio of shaded to unshaded} = \frac{\text{shaded squares}}{\text{unshaded squares}} = \frac{9}{6} \]
Next, we can simplify this ratio:
\[ \frac{9}{6} = \frac{3}{2} \]
Thus, the ratio of shaded parts to unshaded parts is \( \frac{3}{2} \).
From the provided statements:
- For every 2 shaded parts, there are 3 unshaded parts.
- For every 9 shaded parts, there are 2 unshaded parts.
- For every 3 shaded parts, there are 6 unshaded parts.
- For every 3 shaded parts, there are 2 unshaded parts.
Only the first aligns with the simplified ratio \( \frac{3}{2} \):
- "For every 2 shaded parts, there are 3 unshaded parts" describes that the ratio of shaded to unshaded is \( \frac{2}{3} \), not corresponding with what we derived.
In contrast, if we consider just the counts provided (9 shaded and 6 unshaded):
The confirmed answer remains:
\[ \text{The ratio of shaded to unshaded parts is } 3:2. \]
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