SOLUTION: At a basketball game, 3/5 of the students who attended were seniors, 1/3 of the other students who attended were juniors, and the remaining 80 students who attended were all sophom
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Question 773098: At a basketball game, 3/5 of the students who attended were seniors, 1/3 of the other students who attended were juniors, and the remaining 80 students who attended were all sophomores. How many seniors attended this game?
A)120
B)175
C)180
D)210
E)300 Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! At a basketball game, 3/5 of the students who attended were seniors,
1/3 of the other students who attended were juniors,
and the remaining 80 students who attended were all sophomores.
How many seniors attended this game?
:
let x = the total number of students
if 3/5 were seniors, 2/5 were the other students
x = x + [*x] + 80
:
x = x + x + 80
multiply by 15 to clear the denominators, resulting in
15x - 3(3x) + 2x + 15(80)
15x = 9x + 2x + 1200
15x - 11x = 1200
x = 1200/4
x = 300 total students
therefore *300 = 180 seniors
