Question
Yesterday was the first playoff game for the Culver City Cyclones baseball team. The stadium's manager predicted attendance at the game would be 5,600 fans. Unfortunately, the threat of a storm caused many to stay home, and his prediction wound up being \( 28 \% \) higher than the actual attendance. What was the actual attendance at the baseball game? Submit
Ask by Harper Bernard. in the United States
Jan 23,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The actual attendance was 4,375 fans.
Solution
To determine the actual attendance at the baseball game, let's break down the problem step-by-step.
1. **Understanding the Relationship:**
- **Manager's Prediction:** 5,600 fans
- **Prediction is 28% higher than actual attendance.**
2. **Let \( A \) represent the actual attendance.**
3. **Setting Up the Equation:**
\[
\text{Manager's Prediction} = A + 0.28A = 1.28A
\]
\[
1.28A = 5,600
\]
4. **Solving for \( A \):**
\[
A = \frac{5,600}{1.28}
\]
\[
A = 4,375
\]
**Therefore, the actual attendance at the baseball game was 4,375 fans.**
Answered by UpStudy AI and reviewed by a Professional Tutor
Like
error msg
Explain 
Simplify this solution Extra Insights
To find the actual attendance, let \( x \) be the actual attendance. According to the problem, the manager's prediction (5,600 fans) was \( 28\% \) higher than the actual attendance. This can be expressed as: \[ 5600 = x + 0.28x \] Combining the terms gives: \[ 5600 = 1.28x \] Now, divide both sides by \( 1.28 \): \[ x = \frac{5600}{1.28} \] \[ x \approx 4375 \] Therefore, the actual attendance at the baseball game was approximately 4,375 fans.
