SAT question 65c49824 (Percentages)

Question

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?

College Board · Accepted Answer

The correct answer is 8. The correct answer is 8 . The 6 students represent (100 - 15 - 45 - 25)% = 15% of those invited to join the committee. If x people were invited to join the committee, then 0.15x = 6 . Thus, there were 6/(0.15) = 40 people invited to join the committee. It follows that there were 0.45 × 40 = 18 teachers and 0.25 × 40 = 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.

jarvis · Answer

Note: x is the total invited, and the regression uses the 15% student remainder before finding the percentage difference.

Explanation

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Student discussion

SAT Question 65c49824: Percentages answer and explanation with Desmos solution

Explanation

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Student discussion