Linda had $584 less than Warren. Linda spent ¹₇ of her money and Warren spent ³₅ of his money. In the end, Warren and Linda had the same amount of money left. Find the amount of money Warren had at first.

	Linda	Warren	Difference
Before	7x1 = 7 u	5x3 = 15 u	8 u
Change	- 1x1 = - 1 u	- 3x3 = - 9 u
After	6x1 = 6 u	2x3 = 6 u

Fraction of Linda's money left
= 1 - ¹₇
= ⁶₇

Fraction of Warren's money left
= 1 - ³₅
= ²₅

Warren and Linda had the same amount of money in the end. Make the numerators the same. LCM of 6 and 2 is 6.

⁶₇ of Linda's money = ²₅ of Warren's money
⁶₇ of Linda's money = ⁶₁₅ of Warren's money

Amount that Linda had at first = 7 u
Amount that Warren had at first = 15 u

Amount that Linda had less than Warren had at first
= 15 u - 7 u
= 8 u

8 u = 584

1 u = 584 ÷ 8 = 73

Amount that Warren had at first
= 15 u
= 15 x 73
= $1095

Answer(s): $1095