Out of total number of student in the college, 15% are interested in sports, 3535 of total student are interested in dancing,10% of total numbers of student are interested in singing and remaining 45 students are not interested in any of the activities. What is total number of students in the college? 300400200500
Question
Out of total number of student in the college, 15% are interested in sports, 3535 of total student are interested in dancing,10% of total numbers of student are interested in singing and remaining 45 students are not interested in any of the activities. What is total number of students in the college? 300400200500
Solution
To solve this problem, we need to understand that the total number of students is made up of those interested in sports, dancing, singing, and those not interested in any activities.
Let's denote the total number of students as X.
According to the problem:
- 15% of students are interested in sports, which is 0.15X.
- 3535 students are interested in dancing.
- 10% of students are interested in singing, which is 0.10X.
- 45 students are not interested in any activities.
So, we can set up the equation as follows:
0.15X (sports) + 3535 (dancing) + 0.10X (singing) + 45 (not interested) = X (total students)
Combining like terms gives us:
0.25X + 3580 = X
Subtracting 0.25X from both sides gives us:
3580 = 0.75X
Finally, to find the total number of students (X), we divide both sides by 0.75:
X = 3580 / 0.75
X = 4760
So, the total number of students in the college is 4760.
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