Stella had 50% more coins than Julian. Jackson had 20% fewer coins than Stella. Stella and Julian gave Jackson some coins in the ratio of 3 : 5. As a result, Jackson had 50% more coins than before. Given that Julian had 564 less coins than Jackson in the end, how many coins did Julian give to Jackson?

Stella	Julian	Jackson
3x5	2x5
5x3		4x3
15	10	12

100% + 50% = 150%
150% = ¹⁵⁰₁₀₀ = ³₂

Stella : Julian = 3 : 2

100% - 20% = 80%
80% = ⁸⁰₁₀₀ = ⁴₅

Stella : Jackson = 5 : 4

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

	Stella	Julian	Jackson
Before	15x4 =  60 u	10x4 = 40 u	12x4 = 48 u
Change			+ 6x4 = + 24 u
Comparing the changes in the number of coins	- 3x3 = - 9 u	- 5x3 = - 15 u	+ 8x3 = + 24 u
After	51 u	25 u	18x4 = 72 u

50% x 12 
= ⁵⁰₁₀₀ x 12 
= 6 

The total number of coins that Stella and Julian gave to Jackson is repeated.  Make the total number of coins that Stella and Julian gave to Jackson the same.  LCM of 8 and 6 is 24.

Number of coins that Julian had less than Jackson 
= 72 u - 25 u
= 47 u

47 u = 564

1 u = 564 ÷ 47 = 12

Number of coins that Julian gave to Jackson
= 15 u
= 15 x 12
= 180

Answer(s): 180