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Percentages SAT question
Math · Problem-Solving and Data Analysis · Hard · Answer it here, explanation included.
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?
Enter a number or fraction (like 3/17 or 0.176). Press Enter to check.
ExplanationShow
The correct answer is 8. The 6 students represent 
of those invited to join the committee. If x people were invited to join the committee, then 
. Thus, there were 
people invited to join the committee. It follows that there were 
teachers and 
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.
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