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

The ratio of chocolate to vanilla cupcakes is \( 4:3 \). Let the number of chocolate cupcakes be \( 4x \) and vanilla be \( 3x \).

Step2: Solve for \( x \)

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

Step3: Find vanilla cupcakes

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

Step4: Total cupcakes

To find the total number of cupcakes, add chocolate and vanilla: \( 24 + 18 = 42 \).

Answer:

42