Number of students in Arts and Science are in the ratio of 5:8 respectively. If 150 more students join Arts faculty while 80 more students join science faculty, the respective ratio becomes 3:4. Originally what was the total number of students in both faculties together?
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Let the original number of students in Arts and Science faculties be 5x and 8x respectively.
According to the question.
5x+150/8x+80=34
= 24x + 240 = 20x + 600 360
=> 4x = 360 => x = 360/4 = 90
Therefore, Original number of students
= 5x + 8x = 13x
= 13 x 90 = 1170
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