A total of 52 pink punchers and grey punchers are in a container. The ratio of pink punchers to grey punchers was 4 : 9. Some silver punchers and blue punchers were put into the container. For every 6 grey punchers that were already in the container, 8 blue ones were added. Then, the final number of pink punchers and silver punchers was ⁵₆ the final number of grey punchers and blue punchers. Find the total number of silver and blue punchers.

Silver punchers	Pink punchers	Grey punchers	Blue punchers
	4x2	9x2
		6x3	8x3
5x7		6x7
27 u	8 u	18 u	24 u

The number of grey punchers is repeated.  Make the number of grey punchers the same.  LCM of 9 and 6 is 18.

The total number of grey punchers and blue punchers is repeated.  Make the total number of grey and blue punchers the same.  LCM of 42 and 6 is 42.

Total number of pink punchers and grey punchers
= 8 u + 18 u
= 26 u

26 u = 52

1 u = 52 ÷ 26 = 2

Total number of silver and blue punchers
= 27 u + 24 u
= 51 u
= 51 x 2
= 102

Answer(s): 102