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Math Help - percentage question help?

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    percentage question help?

    Alice gave $480 of her salary to her father, 25% of remaining salary to her mother. After giving 43% of her salary to her parents, she saved 15% of her salary and then spend the rest of the salary.

    a) how much did she spend?
    b) how much did she give to her mother?

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  2. #2
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    Quote Originally Posted by twiceborn View Post
    Alice gave $480 of her salary to her father, 25% of remaining salary to her mother. After giving 43% of her salary to her parents, she saved 15% of her salary and then spend the rest of the salary.

    a) how much did she spend?
    b) how much did she give to her mother?


    Let x = Alice's salary

    Let $480 = amount she gave to her father
    Let .25(x-480) = amount she gave to her mother

    These two amounts represent 43% of Alice's salary

    480+.25(x-480)=.43x

    48000+25x-12000=43x

    x=\$2000

    This is Alice's salary.

    .25(2000-480)=\$380 the amount she gave to her mother.

    .15(2000)=\$300 saved.

    So, she gave $480 to father, $380 to her mother which is a total of $860 to her parents which is 43% of 2000. She saved $300. She had $840 left to spend on beer and cigarettes or whatever.
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