Questions: When the percentage of city employees who ride the bus to work is 10 percentage points higher in City B than in City A, what percentage of city employees in City B ride the bus to work? % (Type an integer or a decimal.)
Transcript text: When the percentage of city employees who ride the bus to work is 10 percentage points higher in City $B$ than in City A, what percentage of city employees in City B ride the bus to work? $\square$ \% (Type an integer or a decimal.)
Solution
Solution Steps
To solve this problem, we need to determine the percentage of city employees in City B who ride the bus to work, given that this percentage is 10 percentage points higher than in City A. Let's denote the percentage of city employees in City A who ride the bus to work as \( p \). Then, the percentage in City B would be \( p + 10 \).
Step 1: Understand the Problem
The problem states that the percentage of city employees who ride the bus to work in City B is 10 percentage points higher than in City A. We need to determine the percentage of city employees in City B who ride the bus to work.
Step 2: Define Variables
Let \( P_A \) be the percentage of city employees in City A who ride the bus to work. Let \( P_B \) be the percentage of city employees in City B who ride the bus to work.
Step 3: Set Up the Relationship
According to the problem, \( P_B \) is 10 percentage points higher than \( P_A \). This can be expressed as:
\[ P_B = P_A + 10 \]
Step 4: Solve for \( P_B \)
Since the problem does not provide the specific value of \( P_A \), we cannot determine a numerical value for \( P_B \). However, we can express \( P_B \) in terms of \( P_A \):
\[ P_B = P_A + 10 \]