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Problem-Solving and Data Analysis / Percentages Difficulty: Hard

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?

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Explanation

The correct answer is 8. The 6 students represent $open parenthesis, 100 minus 15, minus 45, minus 25, close parenthesis, percent, equals 15 percent$ of those invited to join the committee. If x people were invited to join the committee, then $0 point 1 5 x, equals 6$ . Thus, there were $6 over, 0 point 1 5, equals 40$ people invited to join the committee. It follows that there were $0 point 4 5 times 40, equals 18$ teachers and $0 point 2 5 times 40, equals 10$ school and district administrators invited to join the committee. Therefore, there were 8 more teachers than school and district administrators invited to join the committee.