A total of 135 gold staplers and grey staplers are in a container. The ratio of gold staplers to grey staplers was 1 : 4. Some white staplers and brown staplers were put into the container. For every 3 grey staplers that were already in the container, 3 brown ones were added. Then, the final number of gold staplers and white staplers was ³₈ the final number of grey staplers and brown staplers. Find the total number of white and brown staplers.

White staplers	Gold staplers	Grey staplers	Brown staplers
	1x3	4x3
		3x4	3x4
3x3		8x3
6 u	3 u	12 u	12 u

The number of grey staplers is repeated.  Make the number of grey staplers the same.  LCM of 4 and 3 is 12.

The total number of grey staplers and brown staplers is repeated.  Make the total number of grey and brown staplers the same.  LCM of 24 and 8 is 24.

Total number of gold staplers and grey staplers
= 3 u + 12 u
= 15 u

15 u = 135

1 u = 135 ÷ 15 = 9

Total number of white and brown staplers
= 6 u + 12 u
= 18 u
= 18 x 9
= 162

Answer(s): 162