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math

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Andy had 20% fewer marbles than Henry. When Andy gave 80 marbles to Henry, the numbers of marbles he had left was half of what Henry had. How many marbles did Andy have in the begining?

Please help me

  • math -

    at start:
    Henry ---- x marbles
    Andy ---- .8x marbles

    after give-away:
    Henry --- x+80
    Andy ---- .8x - 80

    Andy's marbles = 1/2 of Henry's marbles

    .8x-80 = (1/2)(x+80)
    times 2
    1.6x - 160 = x+80
    .6x = 240
    x = 400

    So Henry had 400 and Andy had 320

    check: after give-away
    Andy is left with 240
    Henry now has 480
    Does Andy have half of what Henry has?? YES

  • math -

    at start:
    Henry ---- x marbles
    Andy ---- .8x marbles

    after give-away:
    Henry --- x+80
    Andy ---- .8x - 80

    Andy's marbles = 1/2 of Henry's marbles

    .8x-80 = (1/2)(x+80)
    times 2
    1.6x - 160 = x+80
    .6x = 240
    x = 400

    So Henry had 400 and Andy had 320

    check: after give-away
    Andy is left with 240
    Henry now has 480
    Does Andy have half of what Henry has?? YES

  • math -

    400for henry 320 for andy

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