John, Vincent, Julian and Daniel paid a total of $150 for a souvenir. Daniel paid ²₃ of what the rest paid. John paid 50% of what the rest paid. Vincent and Julian paid an equal amount of money. How much did Julian pay?

John	Vincent	Julian	Daniel	Total
3x3			2x3	5x3
1x5	2x5			3x5
	1	1
5 u	2 u	2 u	6 u	15 u

50%= ⁵⁰₁₀₀= ¹₂
John's share : Total share = 1 : 2

The total amount paid for the souvenir is repeated.  Make the total amount the same.  LCM of 5 and 3 is 15.

Amount that Vincent, Julian and Daniel paid = 10 u

Amount that Vincent and Julian paid
= 10 u - 6 u
= 4 u

The amount that Vincent and Julian each paid is the same.

Amount that Vincent and Julian each paid
= 4 u ÷ 2
= 2 u

Cost of the souvenir = 15 u

15 u = 150

1 u = 150 ÷ 15 = 10

Amount that Julian paid
= 2 u
= 2 x 10
= $20

Answer(s): $20