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8 May, 07:13

Alexa had some savings, but not enough to afford the $100 printer she needed for her computer. Her father said he would match Alexa's savings; her mother said she would pay her half her savings; her older brother said he would pay a quarter of her savings; and her younger sister gave her 1 dollar. The sum of Alexa's savings and her family's contributions added up to exactly $100. How much did Alexa have in savings?

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  1. 8 May, 07:23
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    Given:

    Alexa's savings: x

    Her father said: he'd match her savings

    Her mother said: she'd pay half her savings

    Her brother said: he'd pay a quarter

    Her sister gave: $1

    Total of $100

    x + x + x/2 + x/4 + 1 = 100

    2x + x/2 + x/4 + 1 = 100

    2x + 0.5x + 0.25x + 1 = 100

    2.75x = 100 - 1

    2.75x = 99

    x = 99/2.75

    x = 36

    Alexa's savings: 36

    Father's contribution: 36

    Mother's contribution: 36/2 = 18

    Brother's contribution: 36/4 = 9

    Sister's contribution: 1

    36 + 36 + 18 + 9 + 1 = 100

    100 = 100

    Alexa had $36 in savings.
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