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 \( 3x \), where \( x \) is a common multiplier.

Step2: Solve for \( x \) using chocolate cupcakes

We know \( 4x = 24 \). Solving for \( x \), we divide both sides by 4: \( x=\frac{24}{4}=6 \).

Step3: Calculate vanilla cupcakes

Now, substitute \( x = 6 \) into the expression for vanilla cupcakes (\( 3x \)): \( 3\times6 = 18 \).

Answer:

18