Julie had $603 less than Ahmad. Julie spent ¹₅ of her money and Ahmad spent ⁵₇ of his money. In the end, Ahmad and Julie had the same amount of money left. Find the amount of money Ahmad had at first.

	Julie	Ahmad	Difference
Before	5x1 = 5 u	7x2 = 14 u	9 u
Change	- 1x1 = - 1 u	- 5x2 = - 10 u
After	4x1 = 4 u	2x2 = 4 u

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

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

Ahmad and Julie had the same amount of money in the end. Make the numerators the same. LCM of 4 and 2 is 4.

⁴₅ of Julie's money = ²₇ of Ahmad's money
⁴₅ of Julie's money = ⁴₁₄ of Ahmad's money

Amount that Julie had at first = 5 u
Amount that Ahmad had at first = 14 u

Amount that Julie had less than Ahmad had at first
= 14 u - 5 u
= 9 u

9 u = 603

1 u = 603 ÷ 9 = 67

Amount that Ahmad had at first
= 14 u
= 14 x 67
= $938

Answer(s): $938