Question

For a given recipe, 10 cups of flour are mixed with 15 cups of sugar. How many cups of flour should be used if 24 cups of sugar are used?

Answer 1

You can start by setting up two equal ratios to form the proportion:

`\begin{gathered} a\colon b=c\colon d \\ 10\text{ cups of flour : 15cups of sugar = x : 24 cups of sugar} \end{gathered}`

Where x is the cups of flour that should be used.

Now, you can rewrite the ratios as fractions:

`\begin{gathered} (a)/(b)=(c)/(d)\text{ by replacing the values} \\ (10)/(15)=(x)/(24)\text{ to find x multiply both sides by 24} \\ 24*(10)/(15)=24*(x)/(24)\text{ simplify} \\ (240)/(15)=x\text{ reorder terms} \\ x=(240)/(15)=16 \end{gathered}`

Thus, if 24 cups of sugar are used, 16 cups of flour should be used