Raeann had 50% more coins than Lily. Levi had 20% fewer coins than Raeann. Raeann and Lily gave Levi some coins in the ratio of 1 : 3. As a result, Levi had 50% more coins than before. Given that Lily had 250 less coins than Levi in the end, how many coins did Lily give to Levi?

Raeann	Lily	Levi
3x5	2x5
5x3		4x3
15	10	12

100% + 50% = 150%
150% = ¹⁵⁰₁₀₀ = ³₂

Raeann : Lily = 3 : 2

100% - 20% = 80%
80% = ⁸⁰₁₀₀ = ⁴₅

Raeann : Levi = 5 : 4

The number of coins that Raeann had at first is repeated. Make the number of coins that Raeann had at first the same.  LCM of 3 and 5 is 15.

	Raeann	Lily	Levi
Before	15x2 =  30 u	10x2 = 20 u	12x2 = 24 u
Change			+ 6x2 = + 12 u
Comparing the changes in the number of coins	- 1x3 = - 3 u	- 3x3 = - 9 u	+ 4x3 = + 12 u
After	27 u	11 u	18x2 = 36 u

50% x 12 
= ⁵⁰₁₀₀ x 12 
= 6 

The total number of coins that Raeann and Lily gave to Levi is repeated.  Make the total number of coins that Raeann and Lily gave to Levi the same.  LCM of 4 and 6 is 12.

Number of coins that Lily had less than Levi 
= 36 u - 11 u
= 25 u

25 u = 250

1 u = 250 ÷ 25 = 10

Number of coins that Lily gave to Levi
= 9 u
= 9 x 10
= 90

Answer(s): 90