Shannon had $1443 less than Ben. Shannon spent ¹₅ of her money and Ben spent ⁴₇ of his money. In the end, Ben and Shannon had the same amount of money left. Find the amount of money Ben had at first.

	Shannon	Ben	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 Shannon's money left
= 1 - ¹₅
= ⁴₅

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

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

⁴₅ of Shannon's money = ³₇ of Ben's money
¹²₁₅ of Shannon's money = ¹²₂₈ of Ben's money

Amount that Shannon had at first = 15 u
Amount that Ben had at first = 28 u

Amount that Shannon had less than Ben had at first
= 28 u - 15 u
= 13 u

13 u = 1443

1 u = 1443 ÷ 13 = 111

Amount that Ben had at first
= 28 u
= 28 x 111
= $3108

Answer(s): $3108