anonymous
  • anonymous
John has four times as many marbles as Neil. If John gave 18 to Neil, they would have the same number. How many marbles has each??
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
Number of marbles of Neil = x Number of marbles of john=4x 4x-18=x+18 3x=36 x=12 Neil=12 John=48
anonymous
  • anonymous
brilliant, I see where I was going wrong. thank you so much.
anonymous
  • anonymous
Glad to help :)

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anonymous
  • anonymous
why did you let x=neil??
anonymous
  • anonymous
Because it is given in the question that John has "four times" as many marbles as "neil"
anonymous
  • anonymous
So let neil be x & john 4 times x = 4x
anonymous
  • anonymous
nice.
anonymous
  • anonymous
Let John be J and Neil be N, 1) "John has four times as many marbles as Neil" i.e J=4N 2)"If John gave 18 to Neil" i.e J=18+N now solve by substituting the value for J in the 1st statement , so the equation will be J=18+N 4N=18+N (J=4N, from the ist statement) 4N-N=18 3N=18 N=6 Therefore J=4*6 i.e 24 and since John gave 18 to Neil, 18+6=24.
anonymous
  • anonymous
So if John has 24 and Neil has 6 ,When John gives 18 to Neil ,John's marbles reduces to 6 and Neil's increases to 24 hence Both of them does not have the same number . So i assume your answer is wrong.
anonymous
  • anonymous
Thank you trying nidi.
anonymous
  • anonymous
not a problem :-) i'm looking at the question stem again.... and reading it in parts..
anonymous
  • anonymous
Nidi You made a mistake in this step J=18+N When John give 18 Marbles it will be J-18=18+N Then you can continue with your method :) Good one
anonymous
  • anonymous
oooopsss!!!! yes that's where i went wrong !!! apologies!! :P
anonymous
  • anonymous
No problem :)
anonymous
  • anonymous
john's marbles=4(Neil's marbles),let x=john's marbles;y=Neil's marbles x=4y; x-18=y+18; 4y-18=y+18; 3y=36; y=12-Neils'smarbles x=4y; x=4(12) x=48-john's marbles
anonymous
  • anonymous
nice

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