A school district is forming a committee to discuss plans for the construction of a new high school. Of those invited to join the committee, 15% are parents of students, 45%

are teachers from the current high school, 25%

are school and district administrators, and the remaining 6

individuals are students. How many more teachers were invited to join the committee than school and district administrators?

Since 15% of the committee are parents of students, 45% are teachers from the current high school, 25% are school and district administrators, the total percentage is

→ 15 + 45 + 25 = %85

The remaining percentage is 15, and it is equal to 6 students. Then, the total number of people in the committee is

→ [tex]\frac{15}{100}[/tex] = [tex]\frac{6}{x}[/tex] → x = 40

Since %45 of the committee are teachers, the number of teachers is

→ 40([tex]\frac{45}{100}[/tex]) = 18

Since %25 of the committee are school and district administrators, the number of school and district administrators is

→ 40([tex]\frac{25}{100}[/tex]) = 10

That means, there are 18 - 10 = 8 more teachers