Ethan, Henry and Cole collected stickers in the ratio of 7 : 5 : 5. After Cole gave ¹₄ to Ethan and Henry, Cole had 150 less stickers than Ethan. The number of stickers that Henry had increased by 15%. How many stickers did Ethan and Cole have in the end?

	Ethan	Henry	Cole
Before	7 u	5 u	5 u
Change	+ 0.5 u	+ 0.75 u	- 1.25 u
After	7.5 u	5.75 u	3.75 u

Number of stickers that Cole gave to Ethan and Henry
= ¹₄ x 5 u
= 1.25 u

Number of stickers that Henry received from Cole
= ¹⁵₁₀₀ x 5 u
= 0.75 u

Number of stickers that Ethan received from Cole
= 1.25 u - 0.75 u
= 0.5 u

Number of less stickers that Cole had less than Ethan
= 7.5 u - 3.75 u 
= 3.75 u

3.75 u = 150

1 u = 150 ÷ 3.75 = 40

Number of stickers that Ethan and Cole had
= 7.5 u + 3.75 u
= 11.25 u
= 11.25 x 40
= 450

Answer(s): 450