Question

charlie is making chocolate cake for his birthday party. he found a recipe that needs 2 cups of cocoa powder for every 3 cups of sugar. all of his friends are coming, so he uses 6 cups of cocoa powder in his cake. how many cups of sugar should charlie use? cups

Explanation:

Step1: Determine the ratio of sugar to cocoa powder

The recipe has 3 cups of sugar for every 2 cups of cocoa powder. So the ratio of sugar to cocoa powder is $\frac{3}{2}$.

Step2: Calculate the amount of sugar for 6 cups of cocoa powder

Let $x$ be the number of cups of sugar. We set up the proportion $\frac{3}{2}=\frac{x}{6}$. Cross - multiplying gives $2x = 3\times6=18$. Then, solving for $x$ we divide both sides by 2: $x=\frac{18}{2} = 9$.

Answer:

9