Perry, Vaidev, Mark and Vincent shared $1188. Vincent received ⁵₆ of the total amount of money received by Perry, Vaidev and Mark. Perry received ⁴₅ of the total amount for Vaidev and Mark. Vaidev received ¹₃ as much money as Mark. If Mark gave all his money to Vincent, how much did Vincent have more than Vaidev in the end?

Perry	Vaidev	Mark	Vincent	Total
6x6			5x6	11x6
4x4	5x4
	1x5	3x5
16 u	5 u	15 u	30 u	66 u

The total amount that Vaidev and Mark have is repeated.  Make the total amount of Vaidev and Mark the same.  LCM of 4 and 5 is 20.

The total amount that Perry, Vaidev and Mark have is repeated.  Make the total amount of Perry, Vaidev and Mark the same. LCM of 36 and 6 is 36.

Total amount that Perry, Vaidev, Mark and Vincent shared = 66 u

66 u = 1188

1 u = 1188 ÷ 66 = 18

	Perry	Vaidev	Mark	Vincent
Before	16 u	5 u	15 u	30 u
Change			- 15 u	+ 15 u
After	16 u	5 u	0 u	45 u

Amount that Vincent had if Mark gave him all his money
= 30 u + 15 u
= 45 u

Amount that Vincent had more than Vaidev
= 45 u - 5 u
= 40 u
= 40 x 18
= $720

Answer(s): $720