Wesley, Cole and Chung collected buttons in the ratio of 7 : 4 : 8. After Chung gave ⁴₅ to Wesley and Cole, Chung had 204 less buttons than Wesley. The number of buttons that Cole had increased by 40%. How many buttons did Wesley and Chung have in the end?

	Wesley	Cole	Chung
Before	7 u	4 u	8 u
Change	+ 4.8 u	+ 1.6 u	- 6.4 u
After	11.8 u	5.6 u	1.6 u

Number of buttons that Chung gave to Wesley and Cole
= ⁴₅ x 8 u
= 6.4 u

Number of buttons that Cole received from Chung
= ⁴⁰₁₀₀ x 4 u
= 1.6 u

Number of buttons that Wesley received from Chung
= 6.4 u - 1.6 u
= 4.8 u

Number of less buttons that Chung had less than Wesley
= 11.8 u - 1.6 u 
= 10.2 u

10.2 u = 204

1 u = 204 ÷ 10.2 = 20

Number of buttons that Wesley and Chung had
= 11.8 u + 1.6 u
= 13.4 u
= 13.4 x 20
= 268

Answer(s): 268