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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English

Jaida Carr

4 February, 08:31

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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Tess French · Answer 1

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.