Wendy had $688 less than Ahmad. Wendy spent ¹₇ of her money and Ahmad spent ³₅ of his money. In the end, Ahmad and Wendy had the same amount of money left. Find the amount of money Ahmad had at first.

	Wendy	Ahmad	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 Wendy's money left
= 1 - ¹₇
= ⁶₇

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

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

⁶₇ of Wendy's money = ²₅ of Ahmad's money
⁶₇ of Wendy's money = ⁶₁₅ of Ahmad's money

Amount that Wendy had at first = 7 u
Amount that Ahmad had at first = 15 u

Amount that Wendy had less than Ahmad had at first
= 15 u - 7 u
= 8 u

8 u = 688

1 u = 688 ÷ 8 = 86

Amount that Ahmad had at first
= 15 u
= 15 x 86
= $1290

Answer(s): $1290