Natalie had 25% more stickers than Christopher. Raeann had 50% fewer stickers than Natalie. Natalie and Christopher gave Raeann some stickers in the ratio of 3 : 5. As a result, Raeann had 60% more stickers than before. Given that Raeann had 180 more stickers than Christopher in the end, how many stickers did Natalie give to Raeann?

Natalie	Christopher	Raeann
5x2	4x2
2x5		1x5
10	8	5

100% + 25% = 125%
125% = ¹²⁵₁₀₀ = ⁵₄

Natalie : Christopher = 5 : 4

100% - 50% = 50%
50% = ⁵⁰₁₀₀ = ¹₂

Natalie : Raeann = 2 : 1

The number of stickers that Natalie had at first is repeated. Make the number of stickers that Natalie had at first the same.  LCM of 5 and 2 is 10.

	Natalie	Christopher	Raeann
Before	10x8 =  80 u	8x8 = 64 u	5x8 = 40 u
Change			+ 3x8 = + 24 u
Comparing the changes in the number of stickers	- 3x3 = - 9 u	- 5x3 = - 15 u	+ 8x3 = + 24 u
After	71 u	49 u	8x8 = 64 u

60% x 5 
= ⁶⁰₁₀₀ x 5 
= 3 

The total number of stickers that Natalie and Christopher gave to Raeann is repeated.  Make the total number of stickers that Natalie and Christopher gave to Raeann the same.  LCM of 8 and 3 is 24.

Number of stickers that Raeann had more than Christopher 
= 64 u - 49 u
= 15 u

15 u = 180

1 u = 180 ÷ 15 = 12

Number of stickers that Natalie gave to Raeann
= 9 u
= 9 x 12
= 108

Answer(s): 108