Kimberly had $420 less than Warren. Kimberly spent ¹₄ of her money and Warren spent ³₅ of his money. In the end, Warren and Kimberly had the same amount of money left. Find the amount of money Warren had at first.

	Kimberly	Warren	Difference
Before	4x2 = 8 u	5x3 = 15 u	7 u
Change	- 1x2 = - 2 u	- 3x3 = - 9 u
After	3x2 = 6 u	2x3 = 6 u

Fraction of Kimberly's money left
= 1 - ¹₄
= ³₄

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

Warren and Kimberly had the same amount of money in the end. Make the numerators the same. LCM of 3 and 2 is 6.

³₄ of Kimberly's money = ²₅ of Warren's money
⁶₈ of Kimberly's money = ⁶₁₅ of Warren's money

Amount that Kimberly had at first = 8 u
Amount that Warren had at first = 15 u

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

7 u = 420

1 u = 420 ÷ 7 = 60

Amount that Warren had at first
= 15 u
= 15 x 60
= $900

Answer(s): $900