Wendy had $741 less than Ahmad. Wendy spent ¹₅ of her money and Ahmad spent ⁴₇ 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	5x3 = 15 u	7x4 = 28 u	13 u
Change	- 1x3 = - 3 u	- 4x4 = - 16 u
After	4x3 = 12 u	3x4 = 12 u

Fraction of Wendy's money left
= 1 - ¹₅
= ⁴₅

Fraction of Ahmad's money left
= 1 - ⁴₇
= ³₇

Ahmad and Wendy had the same amount of money in the end. Make the numerators the same. LCM of 4 and 3 is 12.

⁴₅ of Wendy's money = ³₇ of Ahmad's money
¹²₁₅ of Wendy's money = ¹²₂₈ of Ahmad's money

Amount that Wendy had at first = 15 u
Amount that Ahmad had at first = 28 u

Amount that Wendy had less than Ahmad had at first
= 28 u - 15 u
= 13 u

13 u = 741

1 u = 741 ÷ 13 = 57

Amount that Ahmad had at first
= 28 u
= 28 x 57
= $1596

Answer(s): $1596