Japheth, Henry and Oscar shared $390. During a shopping trip, Japheth spent ²₉ of his share, Henry spent ³₇ of his share and Oscar spent ¹₄ of his share. Given that all three boys each spent the same amount of money, how much more money do Japheth and Henry have than Oscar at first?

	Japheth	Henry	Oscar	Total
Before	9x3 = 27 u	7x2 = 14 u	4x6 = 24 u	$390
Change	- 2x3 = - 6 u	- 3x2 = - 6 u	- 1x6 = - 6 u
After	7x3 = 21 u	4x2 = 8 u	3x6 = 18 u

The amounts that Japheth, Henry and Oscar spent is the same.  Make the amounts that each boy spent the same. LCM of 2, 3 and 1 is 6.

Amounts that the 3 boys had at first
= 27 u + 14 u + 24 u
= 65 u

65 u = 390

1 u = 390 ÷ 65 = 6

Amount that Japheth and Henry have at first
= 27 u + 14 u
= 41 u

Amount that Japheth and Henry have more than Oscar at first
= 41 u - 24 u
= 17 u
= 17 x 6
= $102

Answer(s): $102