Question

a bakery sold 26 vanilla cupcakes in a day, which was 13% of the total number of cupcakes sold that day. how many total cupcakes did the bakery sell that day?

Explanation:

Step1: Define the variable

Let \( x \) be the total number of cupcakes sold that day.

Step2: Set up the equation

We know that 13% of \( x \) is equal to 26. Mathematically, this can be written as \( 0.13x = 26 \) (since 13% is equivalent to 0.13 in decimal form).

Step3: Solve for \( x \)

To find \( x \), we divide both sides of the equation by 0.13: \( x=\frac{26}{0.13} \).
Calculating the right - hand side, \( \frac{26}{0.13}=200 \).

Answer:

The bakery sold 200 total cupcakes that day.