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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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talkingturkey
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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