Cook Kelly
04/11/2024 · Senior High School
A bakery sells vanilla cupcakes and mocha cupcakes. It sold 76 vanilla cupcakes in a day. \( 62 \% \) of the cupcakes sold that day were mocha. How many total cupcakes did the bakery sell that day?
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
Let \( x \) be the total number of cupcakes sold that day. According to the problem, \( 62\% \) of the cupcakes sold were mocha cupcakes. Therefore, the number of mocha cupcakes sold can be expressed as:
\[
0.62x
\]
Since we know that the bakery sold 76 vanilla cupcakes, we can express the total number of cupcakes sold as the sum of the vanilla and mocha cupcakes:
\[
x = 76 + 0.62x
\]
To solve for \( x \), we can first isolate \( x \) on one side of the equation. Subtract \( 0.62x \) from both sides:
\[
x - 0.62x = 76
\]
This simplifies to:
\[
0.38x = 76
\]
Next, we can solve for \( x \) by dividing both sides by \( 0.38 \):
\[
x = \frac{76}{0.38}
\]
Calculating the right side:
\[
x = 200
\]
Thus, the total number of cupcakes sold that day is \( \boxed{200} \).
Quick Answer
The bakery sold 200 cupcakes in total.
Answered by UpStudy AI and reviewed by a Professional Tutor
UpStudy ThothAI
Self-Developed and Ever-Improving
Thoth AI product is constantly being upgraded and optimized.
Covers All Major Subjects
Capable of handling homework in math, chemistry, biology, physics, and more.
Instant and Accurate
Provides immediate and precise solutions and guidance.
Try Now
Ask Tutors
Ask AI
10x
Fastest way to Get Answers & Solutions
By text
Enter your question here…
By image
Re-Upload
Submit