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Maths-

General

Easy

Question

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

hint Hint:

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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