Lee, Elijah, Michael and Peter paid a total of $150 for a present. Peter paid ²₃ of what the rest paid. Lee paid 50% of what the rest paid. Elijah and Michael paid an equal amount of money. How much did Michael pay?

Lee	Elijah	Michael	Peter	Total
3x3			2x3	5x3
1x5	2x5			3x5
	1	1
5 u	2 u	2 u	6 u	15 u

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

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

Amount that Elijah, Michael and Peter paid = 10 u

Amount that Elijah and Michael paid
= 10 u - 6 u
= 4 u

The amount that Elijah and Michael each paid is the same.

Amount that Elijah and Michael each paid
= 4 u ÷ 2
= 2 u

Cost of the present = 15 u

15 u = 150

1 u = 150 ÷ 15 = 10

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

Answer(s): $20