Ratios & Proportions: The Basic Ratio Box

The ratio, by weight, of flour to water to sugar in a cake is $$5{:}1{:}2$$. If there are 200 grams of flour in the cake, what is the amount of sugar in the cake?

Correct. [[snippet]] The Flour row has one number in the Ratio column (5), and another number in the Real column (200 grams). It follows that the multiplier is 40. Therefore the weight of the sugar is $$2 \times \color{red}{40} = \color{purple}{80}$$ grams.
| | Ratio | Multiplier | Real | |-------|-------|------------------------------------|----------------------------------------------------------| | Flour | $$5$$ | $$\frac{200}{5} =\color{red}{40}$$ | $$200$$ | | Water | $$1$$ | | | | Sugar | $$2$$ | $$\color{red}{40}$$ | $$2 \times \color{red}{ 40}= \color{purple}{80}$$ grams | | Total | $$8$$ | | |

Incorrect. [[snippet]] Make sure you haven't confused the amount of water with the amount of sugar.

Incorrect. [[snippet]] Carefully check your work.

Incorrect. [[snippet]] Carefully check your calculations.

Incorrect. [[snippet]] Carefully check your calculations.

Incorrect. Make sure you haven't confused the amount of flour with the amount of sugar. Pay attention to the order of the ratio. This answer choice is a typical trap for those who associated the 200 grams with the sugar instead of the flour. Use the __Ratio Box__ to keep the data well organized.

40 grams

80 grams

100 grams

120 grams

300 grams

500 grams