To find which model shows a ratio of 2 unshaded parts to 3 shaded parts, we need to express the relationship of unshaded parts to shaded parts as a fraction and see which option satisfies the condition.
The desired ratio is 2 unshaded : 3 shaded, which can be represented as:
\[ \frac{\text{unshaded}}{\text{shaded}} = \frac{2}{3} \]
Now, let's analyze each option:
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6 shaded squares and 4 unshaded squares: \[ \frac{4}{6} = \frac{2}{3} \quad \text{(Simplifies to 2:3)} \]
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4 shaded squares and 6 unshaded squares: \[ \frac{6}{4} = \frac{3}{2} \quad \text{(Not 2:3)} \]
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9 shaded squares and 3 unshaded squares: \[ \frac{3}{9} = \frac{1}{3} \quad \text{(Not 2:3)} \]
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3 shaded squares and 9 unshaded squares: \[ \frac{9}{3} = 3 \quad \text{(Not 2:3)} \]
The option that shows the ratio of 2 unshaded parts to 3 shaded parts is:
6 shaded squares and 4 unshaded squares.
1 answer