Jen had $833 less than Ahmad. Jen spent ¹₇ of her money and Ahmad spent ⁴₇ of his money. In the end, Ahmad and Jen had the same amount of money left. Find the amount of money Ahmad had at first.

	Jen	Ahmad	Difference
Before	7x1 = 7 u	7x2 = 14 u	7 u
Change	- 1x1 = - 1 u	- 4x2 = - 8 u
After	6x1 = 6 u	3x2 = 6 u

Fraction of Jen's money left
= 1 - ¹₇
= ⁶₇

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

Ahmad and Jen had the same amount of money in the end. Make the numerators the same. LCM of 6 and 3 is 6.

⁶₇ of Jen's money = ³₇ of Ahmad's money
⁶₇ of Jen's money = ⁶₁₄ of Ahmad's money

Amount that Jen had at first = 7 u
Amount that Ahmad had at first = 14 u

Amount that Jen had less than Ahmad had at first
= 14 u - 7 u
= 7 u

7 u = 833

1 u = 833 ÷ 7 = 119

Amount that Ahmad had at first
= 14 u
= 14 x 119
= $1666

Answer(s): $1666