A total of 33 brown punchers and gold punchers are in a container. The ratio of brown punchers to gold punchers was 2 : 9. Some green punchers and silver punchers were put into the container. For every 1 gold punchers that were already in the container, 3 silver ones were added. Then, the final number of brown punchers and green punchers was ²₃ the final number of gold punchers and silver punchers. Find the total number of green and silver punchers.

Green punchers	Brown punchers	Gold punchers	Silver punchers
	2x1	9x1
		1x9	3x9
2x12		3x12
22 u	2 u	9 u	27 u

The number of gold punchers is repeated.  Make the number of gold punchers the same.  LCM of 9 and 1 is 9.

The total number of gold punchers and silver punchers is repeated.  Make the total number of gold and silver punchers the same.  LCM of 36 and 3 is 36.

Total number of brown punchers and gold punchers
= 2 u + 9 u
= 11 u

11 u = 33

1 u = 33 ÷ 11 = 3

Total number of green and silver punchers
= 22 u + 27 u
= 49 u
= 49 x 3
= 147

Answer(s): 147