Oliver, Cole, Michael and Luis paid a total of $330 for a present. Luis paid ⁴₇ of what the rest paid. Oliver paid 50% of what the rest paid. Cole and Michael paid an equal amount of money. How much did Michael pay?

Oliver	Cole	Michael	Luis	Total
7x3			4x3	11x3
1x11	2x11			3x11
	1	1
11 u	5 u	5 u	12 u	33 u

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

The total amount paid for the present is repeated.  Make the total amount the same.  LCM of 11 and 3 is 33.

Amount that Cole, Michael and Luis paid = 22 u

Amount that Cole and Michael paid
= 22 u - 12 u
= 10 u

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

Amount that Cole and Michael each paid
= 10 u ÷ 2
= 5 u

Cost of the present = 33 u

33 u = 330

1 u = 330 ÷ 33 = 10

Amount that Michael paid
= 5 u
= 5 x 10
= $50

Answer(s): $50