Question

Chauncy, an English bulldog, received 1,618 votes in the Mr. Bulldog USA competition, giving him approximately 20 percent of the vote. Approximately what percent of the remaining votes would he have needed to receive in order to win 30 percent of the total votes?

• A. 10%
• B. 12.5%
• C. 15%
• D. 17.5%
• E. 20%

Hint:

When calculating required percentages, first determine the total, then the target, and finally the proportion needed from the remaining votes.

Answer 1

The Correct Option is B

Step 1: Total number of votes.
Chauncy received 1,618 votes, which represents 20 percent of the total votes. Let the total number of votes be \( V \). We can write the equation: \[ \frac{20}{100} \times V = 1,618. \] Solving for \( V \): \[ V = \frac{1,618 \times 100}{20} = 8,090 \, \text{votes}. \] Step 2: Calculate the number of votes required for 30 percent.
In order to win 30 percent of the total votes, Chauncy would need: \[ \frac{30}{100} \times 8,090 = 2,427 \, \text{votes}. \] Step 3: Calculate the number of remaining votes.
The remaining votes are the total votes minus the votes Chauncy already received: \[ \text{Remaining votes} = 8,090 - 1,618 = 6,472 \, \text{votes}. \] Step 4: Calculate the additional votes needed.
Chauncy needs \( 2,427 - 1,618 = 809 \) additional votes to reach 30 percent of the total votes. Step 5: Calculate the percentage of remaining votes needed.
The percentage of the remaining votes that Chauncy needs to win is: \[ \frac{809}{6,472} \times 100 \approx 12.5%. \] Conclusion:
Thus, Chauncy would need to receive approximately 12.5% of the remaining votes in order to win 30 percent of the total votes. The correct answer is (B) 12.5%.