at a high school basketball game three fifth of the students who attended were seniors one third of the other students who attended were Junior and the remaining student who attended were all sophomores how many senior attended the game?
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Answer:
180 seniors is the answer to your question
Step-by-step explanation:
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 = 3%2F5x + [2%2F5*1%2F3x] + 80
:
x = 3%2F5x + 2%2F15x + 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
3%2F5*300 = 180 seniors
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