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?
vanilla cupcakes
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Answer 1

To find the number of vanilla cupcakes at the party, we start by using the given ratio of chocolate cupcakes to vanilla cupcakes, which is 4 to 3.

This means that for every 4 chocolate cupcakes, there are 3 vanilla cupcakes.

Let's denote the number of chocolate cupcakes as \( C \) and the number of vanilla cupcakes as \( V \). According to the ratio, we can set up the equation:
\[
\frac{C}{V} = \frac{4}{3}
\]

We know that there are 24 chocolate cupcakes, so we can substitute \( C \) with 24:
\[
\frac{24}{V} = \frac{4}{3}
\]

Now, we can cross-multiply to solve for \( V \):
\[
24 \cdot 3 = 4 \cdot V
\]
\[
72 = 4V
\]

Next, we divide both sides by 4 to solve for \( V \):
\[
V = \frac{72}{4} = 18
\]

Thus, the number of vanilla cupcakes at the party is \( \boxed{18} \).