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1/5 of Jane's money is equal to 1/3 of Sam's money. The difference in their amount is 1/2 of Adam's money. If Adam gives $120 to Sam, Sam will have the same amount of money as Jane. How much do the 3 people have altogether?(non-algebra solution pls)

  • maths - ,

    Sam's money --- x
    Jane's money --- y

    y/5 = x/3
    3y = 5x
    y = 5x/3

    Adam's --- z
    difference in amount of Sam and Jane = 5x/3 - x
    = 2x/3

    "The difference in their amount is 1/2 of Adam's money" ---> 2x/3 = (1/2)z
    z = 4x/3

    after give-away:
    Adam has 4x/3 - 120

    so 4x/3 - 120 = 2x/3
    times 3
    4x - 360 = 2x
    2x = 360
    x = 180

    Sam has 180
    Jane has 300
    Adam has 240 , together they have 720

  • maths - ,

    I am unable to understand the algebra method, could you simplify?

  • maths - ,

    Joi, you need a personal tutor.

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