CBSE Class 10 Answered
Quadratic Equation
Asked by monikas | 07 Oct, 2008, 02:28: PM
Expert Answer
let the number of students=x
Amount each student pays = y .So x y = 240 , y = 240/x
4 students of the group failed to go
Now number of students = x -4 and each one pays y+5
(x-4) (y+5) = 240
(x - 4) (240 / x +5 ) = 240
(x -4 ) ( 240 + 5x) = 240 x
240 x + 5 x2 - 960 -20 x = 240 x
5x2 - 20x - 960 = 0
x2 - 4x - 192 = 0
x2 - 12x + 8x - 192 = 0
X( x - 12 ) + 8 ( x - 12 ) = 0
(x + 8 ) ( x - 12) = 0
x = -8 , 12
The number of students who went for the picnic can not be negative , so x = 12
The number of students who went for the picnic = 12
Answered by | 07 Oct, 2008, 05:53: PM
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