Question

at a party, the ratio of chocolate cupcakes to vanilla cupcakes is 4 to 3. if there are 24 chocolate cupcakes, how many vanilla cupcakes are at the party?

Explanation:

Step1: Define the ratio relationship

Let the number of chocolate cupcakes be \(4x\) and the number of vanilla cupcakes be \(3x\), where \(x\) is a common multiplier. We know the number of chocolate cupcakes is 24, so \(4x = 24\).

Step2: Solve for \(x\)

To find \(x\), divide both sides of the equation \(4x = 24\) by 4: \(x=\frac{24}{4}=6\).

Step3: Find the number of vanilla cupcakes

Now that we know \(x = 6\), the number of vanilla cupcakes is \(3x\). Substitute \(x = 6\) into \(3x\): \(3\times6 = 18\).

Answer:

18