(5) Number of boys = x Number of girls = x - 24 According to the question, 48x+44(x−24)=(2x−24)×46.6 ⇒ 48x+44x−44×24 = 93.2x−24×46.6 => 92x−44×24=93.2x−24×46.6 => 93.2×−92x=24(46.6−24) => 1.2x=24×2.6 ⇒x=
24×2.6
1.2
=52 ∴ Total number of students = 2x - 24 =2×52−24=104−24=80