Question

If 70% of the students in a school are Girls and the number of boys is 504, then the number of girls is

• A. 1176
• B. 1680
• C. 1512
• D. 504

Answer 1

Answer:

A. 1176

The number of girls in the school is 1,176.

• Find the percentage of boys:
  If 70% of the students are girls, then the remaining percentage must be boys.
  $100\% - 70\% = 30\% \text{ (Boys)}$

• Find the total number of students:
  We know that 30% of the total students equals 504 boys. Let the total number of students be $T$.
  $30\% \text{ of } T = 504$
  $\frac{30}{100} \times T = 504$
  $T = \frac{504 \times 100}{30} = 504 \times \frac{10}{3} = 1,680 \text{ total students}$

• Calculate the number of girls:
  Subtract the number of boys from the total number of students.
  $1,680 - 504 = 1,176$