# Ratio, Proportion and Percentages Puzzle – Challenge 27

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## Challenge:

The ratio of sugar to flour for cooking a cake is $$\frac{1}{2}$$ to $$2$$. What percent of the cake is flour? (Assume that there are only sugar and flour in the cake)

A- $$50\%$$

B- $$60\%$$

C- $$70\%$$

D- $$80\%$$

E- $$90\%$$

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The ratio of sugar to flour is $$\frac{1}{2}$$ to $$2$$. Therefore, the ratio of the flour to whole is $$2$$ to $$2\frac{1}{2}$$ or $$\frac{2}{2\frac{ 1}{2}} = 0.8 = 80\%$$
Therefore, $$80\%$$ of the cake is flour.

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