Q8)a)
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I has solved both a and b
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Let the original number of children be x
Money each child got = 7500/x
New number of children = x - 20
Money each child got = 7500 / (x-20)
7500 / (x-20) = 7500 / x + 100
7500 / (x-20) - 7500 / x = 100
( 7500x - 7500x + 150000 ) / ( x^2 - 20x ) = 100
150000 = 100 ( x^2 - 20x )
1500 = x^2 - 20x
x^2 - 20x - 1500 = 0
x^2 - 50x + 30x - 1500 = 0
x ( x - 50 ) + 30 ( x - 50 ) = 0
( x + 30 ) ( x - 50 ) = 0
Therefore, x = -30 or 50
Since number of children cannot be negative, -30 is rejected
Therefore, the original number of children = 50
Hope this helps you
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