Valen, Luke, Flynn and Simon paid a total of $462 for a present. Simon paid ⁵₉ of what the rest paid. Valen paid 20% of what the rest paid. Luke and Flynn paid an equal amount of money. How much did Flynn pay?

Valen	Luke	Flynn	Simon	Total
9x3			5x3	14x3
1x7	5x7			6x7
	1	1
7 u	10 u	10 u	15 u	42 u

20%= ²⁰₁₀₀= ¹₅
Valen's share : Total share = 1 : 5

The total amount paid for the present is repeated.  Make the total amount the same.  LCM of 14 and 6 is 42.

Amount that Luke, Flynn and Simon paid = 35 u

Amount that Luke and Flynn paid
= 35 u - 15 u
= 20 u

The amount that Luke and Flynn each paid is the same.

Amount that Luke and Flynn each paid
= 20 u ÷ 2
= 10 u

Cost of the present = 42 u

42 u = 462

1 u = 462 ÷ 42 = 11

Amount that Flynn paid
= 10 u
= 10 x 11
= $110

Answer(s): $110