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 vanilla cupcakes be \(3x\). We know \(4x = 24\).

Step2: Solve for \(x\)

From \(4x = 24\), divide both sides by 4: \(x=\frac{24}{4}=6\).

Step3: Find vanilla cupcakes

Vanilla cupcakes are \(3x\), substitute \(x = 6\): \(3\times6 = 18\).

Step4: Find total cupcakes

Total cupcakes = chocolate + vanilla = \(24 + 18 = 42\).

Answer:

42