# Math

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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 -

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 ✔

• Math -

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