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Question

Pattern $$B$$ consists of four tiles like pattern $$A$$. Write a proportion involving red dots and blue dots in pattern $$A$$ and $$B$$ . Are they in direct proportion? If yes, write the constant of proportion.

Solution
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No. of red dots $$=4$$
No. Of blue dots $$=2$$
Pattern $$B$$ consists of four tiles like pattern $$A$$
Pattern $$A\times 4=$$ Pattern $$B$$
Proportion of pattern $$=\dfrac{2}{6}=\dfrac{1}{3}$$
Proportion of red dots and blue dots in pattern $$B=\dfrac{8}{32}=\dfrac{1}{4}$$

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