[Video] Q38: 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?

Explanation for Question 38 From the Math (Calc) Section on the Official Sat Practice Test 6

Question 38 reads a school district is forming a committee to discuss plans for 2 the construction of a new high school of those invited to join the committee. 3 15% are parents of students. 4 45% are teachers from the current high school. 5 25% are school and district administrators. 6 And the remaining six individuals are students. 7 How many more teachers were invited to join the committee than school and district 8 administrators? Okay. 9 So first, what we know is is that all of these percentages should add 10 up to 100%, 15% are parents 11 45% are teachers, 12 25% are administrators. 13 And then that remaining percent are students. 14 So that should all be equal to 100%. 15 So let's find the percent of the committee that is students. 16 So we can do that by saying 100 minus 25 minus 45, 17 minus 15 is equal to 15. 18 So percent of students is equal to 19 15. 20 Now we know that six individuals are students. 21 So six students is equal to 15% 22 of the committee. So now we're going to want to do is 23 find the total size of the committee. 24 So let's set this up as a ratio to make it extremely clear, 25 clear what's going on here. So we 26 have six students over X. 27 Number of people is equal to 15, 28 over 100 with the 15, over 100 being the 15%. 29 So let's cross multiply. We have 600 is equal to 30 15 X moving forward with that. 31 We can divide 600 by 15 and we're going to get that X is 32 equal to 40. So there are 40 total people on 33 the committee. 34 But what we'...