Reggie, Archie and Caden shared $244. During a shopping trip, Reggie spent ³₈ of his share, Archie spent ²₇ of his share and Caden spent ¹₄ of his share. Given that all three boys each spent the same amount of money, how much more money do Reggie and Archie have than Caden in the end?

	Reggie	Archie	Caden	Total
Before	8x2 = 16 u	7x3 = 21 u	4x6 = 24 u	$244
Change	- 3x2 = - 6 u	- 2x3 = - 6 u	- 1x6 = - 6 u
After	5x2 = 10 u	5x3 = 15 u	3x6 = 18 u

The amounts that Reggie, Archie and Caden spent is the same.  Make the amounts that each boy spent the same. LCM of 3, 2 and 1 is 6.

Amounts that the 3 boys had at first
= 16 u + 21 u + 24 u
= 61 u

61 u = 244

1 u = 244 ÷ 61 = 4

Amount that Reggie and Archie have in the end
= 10 u + 15 u
= 25 u

Amount that Reggie and Archie have more than Caden in the end
= 25 u - 18 u
= 7 u
= 7 x 4
= $28

Answer(s): $28