Which model shows a ratio of 2 unshaded parts to 3 shaded parts?

Question

6 shaded squares and 4 unshaded squares.
4 shaded squares and 6 unshaded squares.
9 shaded squares and 3 unshaded squares.
3 shaded squares and 9 unshaded squares.

Answer 1

To find the model that shows a ratio of 2 unshaded parts to 3 shaded parts, we can evaluate each option by identifying the ratio of unshaded squares to shaded squares.

1. 6 shaded squares and 4 unshaded squares:

   • Ratio = 4 unshaded : 6 shaded = 4:6 = 2:3

2. 4 shaded squares and 6 unshaded squares:

   • Ratio = 6 unshaded : 4 shaded = 6:4 = 3:2

3. 9 shaded squares and 3 unshaded squares:

   • Ratio = 3 unshaded : 9 shaded = 3:9 = 1:3

4. 3 shaded squares and 9 unshaded squares:

   • Ratio = 9 unshaded : 3 shaded = 9:3 = 3:1

From these analyses, the option "6 shaded squares and 4 unshaded squares" exhibits a ratio of 2 unshaded parts to 3 shaded parts (2:3).