Jen had $440 less than Mark. Jen spent ¹₃ of her money and Mark spent ⁴₇ of his money. In the end, Mark and Jen had the same amount of money left. Find the amount of money Mark had at first.

	Jen	Mark	Difference
Before	3x3 = 9 u	7x2 = 14 u	5 u
Change	- 1x3 = - 3 u	- 4x2 = - 8 u
After	2x3 = 6 u	3x2 = 6 u

Fraction of Jen's money left
= 1 - ¹₃
= ²₃

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

Mark and Jen had the same amount of money in the end. Make the numerators the same. LCM of 2 and 3 is 6.

²₃ of Jen's money = ³₇ of Mark's money
⁶₉ of Jen's money = ⁶₁₄ of Mark's money

Amount that Jen had at first = 9 u
Amount that Mark had at first = 14 u

Amount that Jen had less than Mark had at first
= 14 u - 9 u
= 5 u

5 u = 440

1 u = 440 ÷ 5 = 88

Amount that Mark had at first
= 14 u
= 14 x 88
= $1232

Answer(s): $1232