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anonymous

  • 5 years ago

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??

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  1. anonymous
    • 5 years ago
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    Number of marbles of Neil = x Number of marbles of john=4x 4x-18=x+18 3x=36 x=12 Neil=12 John=48

  2. anonymous
    • 5 years ago
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    brilliant, I see where I was going wrong. thank you so much.

  3. anonymous
    • 5 years ago
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    Glad to help :)

  4. anonymous
    • 5 years ago
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    why did you let x=neil??

  5. anonymous
    • 5 years ago
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    Because it is given in the question that John has "four times" as many marbles as "neil"

  6. anonymous
    • 5 years ago
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    So let neil be x & john 4 times x = 4x

  7. anonymous
    • 5 years ago
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    nice.

  8. anonymous
    • 5 years ago
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    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.

  9. anonymous
    • 5 years ago
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    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.

  10. anonymous
    • 5 years ago
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    Thank you trying nidi.

  11. anonymous
    • 5 years ago
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    not a problem :-) i'm looking at the question stem again.... and reading it in parts..

  12. anonymous
    • 5 years ago
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    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

  13. anonymous
    • 5 years ago
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    oooopsss!!!! yes that's where i went wrong !!! apologies!! :P

  14. anonymous
    • 5 years ago
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    No problem :)

  15. anonymous
    • 5 years ago
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    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

  16. anonymous
    • 5 years ago
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    nice

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