nm97 wrote:
In a class of 25 students, 3 students did not submit a book report for extra credit. 8 students submitted 1 book report, 6 students each submitted 2 book reports and the rest of the students each submitted at least three book reports. If the average number of book reports submitted was 2, what is the maximum number of book reports that any individual student could have submitted?
A) 4
B) 5
C) 7
D) 9
E) 30
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If 3 students didn't submit any BR= 0BR total
8 students submitted 1BR each = 8BR total
6 students submitted 2BR each = 12BR total
8 remaining students submitted atleast 3BR each = 8X BR total (let's assume)
Avg BR= Total #of BR/ Total #of students = 28BR+12BR+8X BR / 25 = 2BR
20 + 8X= 50
8X= 30 [ Out of these 8 students, if 7 students submitted atleast 3BR each, then total will be 21BR, remaining one students can submit 9BR highest]
7X+X= 30
7*3 + X= 30
X= 30-21= 9BR Ans.