Rs 250 is divided equally among a certain number of children. If there were 25 more children, each would have received 50 paise less. Find the number of children
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Answered by
86
Let the no. of children be x and amount received by each be y. Then,
xy=250 (equation no. 1)
(x+25)(y-0.5)=250
=>xy-x/2+25y-12.5=250
=>25y-x/2=12.5
=>50y-x=25
=>x=50y-25
So, 25(2y-1)y=250
=>2y^2-y=10
=>2y^2-y-10=0
=>2y^2-5y+4y-10=0
=>y(2y-5)+2(2y-5)=0
=>(2y-5)(y+2)=0
So, y=5/2 or (-2)
Since amount can be negative so,y=2.5 rupees
and x=100 children.
PLZ MARK IT AS BRAINLIEST..
xy=250 (equation no. 1)
(x+25)(y-0.5)=250
=>xy-x/2+25y-12.5=250
=>25y-x/2=12.5
=>50y-x=25
=>x=50y-25
So, 25(2y-1)y=250
=>2y^2-y=10
=>2y^2-y-10=0
=>2y^2-5y+4y-10=0
=>y(2y-5)+2(2y-5)=0
=>(2y-5)(y+2)=0
So, y=5/2 or (-2)
Since amount can be negative so,y=2.5 rupees
and x=100 children.
PLZ MARK IT AS BRAINLIEST..
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