The ratio tells partial data of count since some common factor from both parts of the fraction is lost.
The number of boys is 60.
Let the factor that got canceled out be "b".
Then :
Number of boys = 3b
Number of girls = 5b
Total students = 160 = 3b + 5b
[tex]160 = 5b + 3b\\ 8b = 160\\\\ b = \dfrac{160}{8} = 20\\\\[/tex]
Thus, total boys = 3b = 60
Total girls = 5b =100
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