LUANDATO wrote:In a local school distirct, 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
Since each student must have the same funding, let the funding per student = $1.
Since the high school has 300 students, the amount required by the high school = 300*1 = $300.
Since the middle school has 200 students, the amount required by the middle school = 200*1 = $200.
Total amount distributed to the two schools = 300+200 = $500.
Since each school originally received r dollars, and the total amount distributed was $500, r = $250.
Since the middle school originally had $250 and gave away s dollars to end with only $200, s = $50.
The question stem asks for the value of s (50). This is the target value.
Now plug r=250 into the answers to see which yields the target value of 50.
Only
D works:
r/5 = 250/5 = 50.
The correct answer is
D.
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