Maths-
General
Easy

Question

In a school, 5 over 8𝑡ℎ of the students are boys, if there are 240 girls, find the number of boys in the school?

hintHint:

Find the total number of students and then subtract number of girls from it to
get the total number of boys.

The correct answer is: 400


    Let the total number of students = x
    Number of girls = 240
    So, number of boys = x - 240…(i)
    Given that 5 over 8 to the power of t h end exponent of the total students are boys. That is,5 over 8 x …(ii)
    On equating (i) and (ii) , we get 5 over 8 x equals x minus 240
    Multiply by 8 on both sides.
    We have 5 x equals 8 left parenthesis x minus 240 right parenthesis
    table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell not stretchy rightwards double arrow 5 x equals 8 x minus 1920 end cell row cell not stretchy rightwards double arrow 8 x minus 5 x equals 1920 end cell end table
    not stretchy rightwards double arrow 3 x equals 1920
    not stretchy rightwards double arrow x equals 1920 over 3 equals 640
    Hence total number of students = 640
    From (ii), we get total number of boys equals 5 over 8 x equals 5 over 8 left parenthesis 640 right parenthesis equals 400
    So, number of boys in the school = 400

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