# Ratio, Proportion and Percentages Puzzle – Challenge 27

Can you solve this great math challenge? If you couldn't, take it easy! Many people are not able to find the answer! The solution is provided.

## 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 correct answer is D.

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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