A total of 40 green punchers and red punchers are in a container. The ratio of green punchers to red punchers was 1 : 3. Some grey punchers and blue punchers were put into the container. For every 2 red punchers that were already in the container, 6 blue ones were added. Then, the final number of green punchers and grey punchers was ²₃ the final number of red punchers and blue punchers. Find the total number of grey and blue punchers.

Grey punchers	Green punchers	Red punchers	Blue punchers
	1x2	3x2
		2x3	6x3
2x8		3x8
14 u	2 u	6 u	18 u

The number of red punchers is repeated.  Make the number of red punchers the same.  LCM of 3 and 2 is 6.

The total number of red punchers and blue punchers is repeated.  Make the total number of red and blue punchers the same.  LCM of 24 and 3 is 24.

Total number of green punchers and red punchers
= 2 u + 6 u
= 8 u

8 u = 40

1 u = 40 ÷ 8 = 5

Total number of grey and blue punchers
= 14 u + 18 u
= 32 u
= 32 x 5
= 160

Answer(s): 160