Yoko had $742 less than Ken. Yoko spent ¹₄ of her money and Ken spent ³₅ of his money. In the end, Ken and Yoko had the same amount of money left. Find the amount of money Ken had at first.

	Yoko	Ken	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 Yoko's money left
= 1 - ¹₄
= ³₄

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

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

³₄ of Yoko's money = ²₅ of Ken's money
⁶₈ of Yoko's money = ⁶₁₅ of Ken's money

Amount that Yoko had at first = 8 u
Amount that Ken had at first = 15 u

Amount that Yoko had less than Ken had at first
= 15 u - 8 u
= 7 u

7 u = 742

1 u = 742 ÷ 7 = 106

Amount that Ken had at first
= 15 u
= 15 x 106
= $1590

Answer(s): $1590