In the diagram below, what is the ratio of unshaded parts to shaded parts?

Question

4 shaded triangles and 12 unshaded triangles.
4 unshaded to 9 shaded
9 unshaded to 4 shaded
3 unshaded to 1 shaded
1 unshaded to 3 shaded

Answer 1

To determine the ratio of unshaded parts to shaded parts, we first need to identify the counts of each:

• Shaded triangles: 4
• Unshaded triangles: 12

Now, the desired ratio of unshaded parts to shaded parts can be calculated as follows:

\[ \text{Ratio of unshaded to shaded} = \frac{\text{Unshaded triangles}}{\text{Shaded triangles}} = \frac{12}{4} \]

Now simplifying \( \frac{12}{4} \):

\[ \frac{12}{4} = 3 \]

Thus, the ratio of unshaded parts to shaded parts is:

\[ 3:1 \]

Therefore, the answer is 3 unshaded to 1 shaded.