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24 April, 13:35

Ann has 30% less money than Mary, and Jessica has 70% more than Mary. If the 3 of them have a (added up) total of $102, how much money does each girl have individually. Only serious answers. Stupid answers will be reported

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  1. 24 April, 14:37
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    Let x be the amount of Ann money, y be Jessica's money and z Mary money.

    30% of z equates 0.3*z.

    Ann has 30% less than z so: x = z - 0.3z = 0.7z.

    70% of z equates 0.7z.

    "Jessica has 70% more than Mary " we deduce the equation: y = z+0.7z = 1.7z.

    Signe the total is $102, we deduce the equation x+y+z = 102.

    x=0.7z and y=1.7z then 0.7z+1.7z+z=102, therefore 3.4z=102 then

    z = 102/3.4 = $30.

    x=0.7*30 = 21 and y=1.7*30=51.

    Ann has $21, Mary has $30 and Jessica has $51.
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