Michael, John and Christopher collected stickers in the ratio of 11 : 4 : 8. After Christopher gave ¹₅ to Michael and John, Christopher had 200 less stickers than Michael. The number of stickers that John had increased by 30%. How many stickers did Michael and Christopher have in the end?

	Michael	John	Christopher
Before	11 u	4 u	8 u
Change	+ 0.4 u	+ 1.2 u	- 1.6 u
After	11.4 u	5.2 u	6.4 u

Number of stickers that Christopher gave to Michael and John
= ¹₅ x 8 u
= 1.6 u

Number of stickers that John received from Christopher
= ³⁰₁₀₀ x 4 u
= 1.2 u

Number of stickers that Michael received from Christopher
= 1.6 u - 1.2 u
= 0.4 u

Number of less stickers that Christopher had less than Michael
= 11.4 u - 6.4 u 
= 5 u

5 u = 200

1 u = 200 ÷ 5 = 40

Number of stickers that Michael and Christopher had
= 11.4 u + 6.4 u
= 17.8 u
= 17.8 x 40
= 712

Answer(s): 712