There are 1550 boys and girls in a school. The number of girls exceeds the number of boys by 500. What is the percentage (to the nearest integer) of girls in the school?
- A67%
- B66%
- C64%
- D65%
Solution & Step-by-step Explanation
Let the number of boys be B and the number of girls be G.
Given:
B+G=1550— (Equation 1)
G−B=500— (Equation 2)
Adding Equation 1 and Equation 2:
2G=2050⟹G=1025
Percentage of girls in the school:
Percentage of girls=
Total students
G
×100
Percentage of girls=
1550
1025
×100=
155
10250
≈66.13%
Rounding to the nearest integer gives 66%.
Given:
B+G=1550— (Equation 1)
G−B=500— (Equation 2)
Adding Equation 1 and Equation 2:
2G=2050⟹G=1025
Percentage of girls in the school:
Percentage of girls=
Total students
G
×100
Percentage of girls=
1550
1025
×100=
155
10250
≈66.13%
Rounding to the nearest integer gives 66%.