In a local school district, the high school and middle school each received r dollars toward funding for the student arts program. The high school enrolled 300 students and the middle school enrolled 200 students. Later, the middle school transferred s dollars to the high school so that they would have received the same funding per student. Which of the following is equivalent to s?

A. r/2
B. r/3
C. r/4
D. r/5
E. r/6

option D is the correct answer.

Step-by-step explanation:

the high school and middle school each received r dollars toward funding for the student arts program. The high school enrolled 300 students and the middle school enrolled 200 students.

The dollar per student ratio for the high school is r/300

The dollar per student ratio for the middle school is r/200

Later, the middle school transferred s dollars to the high school so that they would have received the same funding per student.

The dollar per student ratio for the high school would be (r + s)/300

The dollar per student ratio for the middle school would be (r - s)/200

Since both rates are the same, then

(r - s)/200 = (r + s)/300

300(r - s) = 200(r + s)

300r - 300s = 200r + 200s

200s + 300s = 300r - 200r

500s = 100r

s = 100r/500

s = r/5

aloha~! my name is zalgo and i am here to you out on this amazing day. to answer your question, yes, nonzero numbers can have a greatest common factor and that would be 1. still don't get it? let me considering every number is divisible by 1 and hence every number has 1 as a factor of theirs. so, if 2 nonzero numbers didn't share any gcf (greatest common factor), they would still have a factor in common and that would be 1.

i hope that this ! : p

"stay and stay proud! " - zalgo

(by the way, do you mind marking me as brainliest? i'd greatly appreciate it! mahalo! x3)

doubled

step-by-step explanation: