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Mathematics

In a class of 40 students, the number of girls is three-fifths of the number of boys. Find the number of boys in the class.

Linear Eqns One Variable

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Answer

Let the number of boys be x.

Then the number of girls = 35x\dfrac{3}{5}x.

Total students = 40.

Boys + Girls = Total students

∴x+35x=40⇒5x+3x5=40⇒8x5=40⇒8x=40×5⇒8x=200⇒x=2008⇒x=25\therefore x + \dfrac{3}{5}x = 40 \\[1em] \Rightarrow \dfrac{5x + 3x}{5} = 40 \\[1em] \Rightarrow \dfrac{8x}{5} = 40 \\[1em] \Rightarrow 8x = 40 \times 5 \\[1em] \Rightarrow 8x = 200 \\[1em] \Rightarrow x = \dfrac{200}{8} \\[1em] \Rightarrow x = 25

Hence, the number of boys in the class is 25.

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