In an election for senior class presidents. Emily received approcimately 25% more votes than Alexis. If Emily received 163 votes the number of votes Alexis received is closet to

Options

A. `122`
B. `130`
C. `138`
D. `204`

Answer

To solve the problem step by step, we can follow these calculations:

1. **Understanding the Problem**: We know that Emily received approximately 25% more votes than Alexis. If Emily received 163 votes, we need to find out how many votes Alexis received.

2. **Setting Up the Equation**: Let's denote the number of votes Alexis received as \( x \). According to the problem, Emily's votes can be expressed as:
\[ \text{Emily's votes} = x + 0.25x = 1.25x \]
Since we know Emily received 163 votes, we can set up the equation:
\[ 1.25x = 163 \]

3. **Solving for \( x \)**: To find \( x \), we can divide both sides of the equation by 1.25:
\[ x = \frac{163}{1.25} \]

4. **Calculating \( x \)**: To simplify the division, we can multiply the numerator and denominator by 100 to eliminate the decimal:
\[ x = \frac{163 \times 100}{125} = \frac{16300}{125} \]

5. **Performing the Division**: Now we perform the division:
- 125 goes into 16300:
- 125 goes into 163 (1 time, remainder 38)
- Bring down the next two digits (00) to make it 3800.
- 125 goes into 3800 (30 times, remainder 0).
Thus, \( x = 130.4 \).

6. **Rounding the Result**: Since we need the closest whole number for the votes Alexis received, we round 130.4 to the nearest whole number, which is 130.

7. **Conclusion**: Therefore, the number of votes Alexis received is approximately 130.

### Final Answer:
The number of votes Alexis received is closest to **130**.