Winnie had $713 less than Zane. Winnie spent ¹₆ of her money and Zane spent ⁵₇ of his money. In the end, Zane and Winnie had the same amount of money left. Find the amount of money Zane had at first.

	Winnie	Zane	Difference
Before	6x2 = 12 u	7x5 = 35 u	23 u
Change	- 1x2 = - 2 u	- 5x5 = - 25 u
After	5x2 = 10 u	2x5 = 10 u

Fraction of Winnie's money left
= 1 - ¹₆
= ⁵₆

Fraction of Zane's money left
= 1 - ⁵₇
= ²₇

Zane and Winnie had the same amount of money in the end. Make the numerators the same. LCM of 5 and 2 is 10.

⁵₆ of Winnie's money = ²₇ of Zane's money
¹⁰₁₂ of Winnie's money = ¹⁰₃₅ of Zane's money

Amount that Winnie had at first = 12 u
Amount that Zane had at first = 35 u

Amount that Winnie had less than Zane had at first
= 35 u - 12 u
= 23 u

23 u = 713

1 u = 713 ÷ 23 = 31

Amount that Zane had at first
= 35 u
= 35 x 31
= $1085

Answer(s): $1085