Question

In a certain class, 1/7 of the total no. of students play football, five times the square root of the total students prefer cricket and the remaining 7 students like hockey.Find the total no. Of students using variables.

Answer 1

Answer:

49 students

Step-by-step explanation:

let the total number of students be x

APQ:

$\frac{1}{7} x + 5\sqrt{x} + 7 = x$

here, 1/7 times x is the number of students that play football. √x is the number of students that play cricket and 7 students play hockey.

on solving we get

$5 \sqrt{x} = x - \frac{1}{7} x - 7$

or

${(5 \sqrt{x} )}^{2} = {( \frac{6}{7} x - 7)}^{2}$

or

$25x = \frac{ {(6x - 49)}^{2} }{49}$

or

$1225x = 36 {x}^{2} - 588x + 2401$

or

$36 {x}^{2} - 1813x + 2401 = 0$

or

$x = 49or1.3611112$

being number of students, x can be fractional so, x=49

so there are 49 students in the class

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