Question

In a school with 400 students, the number of boys is 3 times the number of girls. If 70 percent of the boys walk to school and 60 percent of the girls walk to school, then what percentage of the total students in the school walk to school?

• A. \(60\%\)
• B. \(62.50\%\)
• C. \(65\%\)
• D. \(67.50\%\)

Answer 1

The Correct Option is D

Step 1: Determine the Number of Boys and Girls 

We are given that the total number of students is 400. Let:

• The number of girls be \( x \)
• The number of boys be \( 3x \)

The total number of students is:

\[ x + 3x = 400 \]

Solving for \( x \):

\[ 4x = 400 \Rightarrow x = 100 \]

Thus:

• Number of girls = 100
• Number of boys = 3 × 100 = 300

Step 2: Calculate the Number of Students Who Walk to School

• 70% of the boys walk to school:
• 60% of the girls walk to school:

Step 3: Find the Total Number of Students Who Walk to School

\[ 210 + 60 = 270 \]

Step 4: Calculate the Percentage of Students Who Walk to School

\[ \frac{270}{400} \times 100 = 67.5\% \]

Final Conclusion:

Thus, the percentage of students who walk to school is 67.5%.