Middle School

For spirit week at a local high school, students were encouraged to wear their school colors of blue and gold. 2,000 students wore their school colors, while 500 students did not wear blue and gold. What percent of the school population did not wear their school colors?

Answer :

Answer: 25% of students didn’t wear the school colors

Step-by-step explanation:

The correct answer is 20%.

To find the percentage of students who did not wear their school colors, we need to use the formula for percentage, which is:

[tex]\[ \text{Percentage} = \left( \frac{\text{Number of students not wearing school colors}}{\text{Total number of students}} \right) \times 100 \][/tex]

Given that 500 students did not wear blue and gold, and the total number of students is the sum of those who wore school colors and those who did not, we have:

[tex]\[ \text{Total number of students} = 2000 + 500 = 2500 \][/tex]

Now, we can calculate the percentage:

[tex]\[ \text{Percentage} = \left( \frac{500}{2500} \right) \times 100 \]\\Percentage} = \left( \frac{1}{5} \right) \times 100 \]\\Percentage} = 20 \][/tex]

Therefore, 20% of the school population did not wear their school colors for spirit week.