Salik had 50% more stickers than Nathan. Joseph had 20% fewer stickers than Salik. Salik and Nathan gave Joseph some stickers in the ratio of 1 : 3. As a result, Joseph had 50% more stickers than before. Given that Joseph had 175 more stickers than Nathan in the end, how many stickers did Salik give to Joseph?

Salik	Nathan	Joseph
3x5	2x5
5x3		4x3
15	10	12

100% + 50% = 150%
150% = ¹⁵⁰₁₀₀ = ³₂

Salik : Nathan = 3 : 2

100% - 20% = 80%
80% = ⁸⁰₁₀₀ = ⁴₅

Salik : Joseph = 5 : 4

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

	Salik	Nathan	Joseph
Before	15x2 =  30 u	10x2 = 20 u	12x2 = 24 u
Change			+ 6x2 = + 12 u
Comparing the changes in the number of stickers	- 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 stickers that Salik and Nathan gave to Joseph is repeated.  Make the total number of stickers that Salik and Nathan gave to Joseph the same.  LCM of 4 and 6 is 12.

Number of stickers that Joseph had more than Nathan 
= 36 u - 11 u
= 25 u

25 u = 175

1 u = 175 ÷ 25 = 7

Number of stickers that Salik gave to Joseph
= 3 u
= 3 x 7
= 21

Answer(s): 21