Posted by **Sarah** on Sunday, May 19, 2013 at 5:51am.

Sarah was given a sum of money. She spent the same amount of money each day. She spent 2/7 of her money in 6 days. After another 5 days, she had $20 left. How much money did she have at first.

- Math -
**Reiny**, Sunday, May 19, 2013 at 8:11am
let the amount she spent each day be $x

so in the 6 days she spent 6x

This was 2/7 of her total

(2/7)total = 6x

total = (7/2)(6x) = 21x

so 21x - 5x = 20

16x = 20

x = 20/16 = 1.25

So she spent $1.25 each day

her total at the start was 21x = $26.25

check:

after 5 days, she spent 5(1.25) = 6.25

leaving her with $20 , ✔

in 6 days she spent 6(1.25) = $7.50

leaving her with 26.25-7.5 = $18.75

... and what is 2/7 of $26.25 ???

it is $7.5 ✔

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