Question

in an election for student council president, the winner received 54% of the votes. based on this result, how could the students have voted? select all that apply. a total of 480 students voted, and 246 of them voted for the winner. a total of 450 students voted, and 243 of them voted for the winner. a total of 350 students voted, and 189 of them voted for the winner. a total of 400 students voted, and 216 of them voted for the winner.

Explanation:

To determine which options are correct, we calculate 54% of the total number of voters for each option and check if it matches the number of votes for the winner.

Option 1: Total of 480 students voted

Step 1: Calculate 54% of 480

To find 54% of 480, we use the formula: $\text{Percentage of a number} = \frac{\text{Percentage}}{100} \times \text{Number}$
So, $54\%$ of $480$ is $\frac{54}{100} \times 480 = 0.54 \times 480 = 259.2$
The number of votes for the winner is given as 246, which is not equal to 259.2. So this option is incorrect.

Option 2: Total of 450 students voted

Step 1: Calculate 54% of 450

Using the same formula, $54\%$ of $450$ is $\frac{54}{100} \times 450 = 0.54 \times 450 = 243$
The number of votes for the winner is 243, which matches the calculation. So this option is correct.

Option 3: Total of 350 students voted

Step 1: Calculate 54% of 350

$54\%$ of $350$ is $\frac{54}{100} \times 350 = 0.54 \times 350 = 189$
The number of votes for the winner is 189, which matches the calculation. So this option is correct.

Option 4: Total of 400 students voted

Step 1: Calculate 54% of 400

$54\%$ of $400$ is $\frac{54}{100} \times 400 = 0.54 \times 400 = 216$
The number of votes for the winner is 216, which matches the calculation. So this option is correct.

Answer:

B. A total of 450 students voted, and 243 of them voted for the winner.
C. A total of 350 students voted, and 189 of them voted for the winner.
D. A total of 400 students voted, and 216 of them voted for the winner.