A total of 147 silver staplers and green staplers are in a container. The ratio of silver staplers to green staplers was 1 : 6. Some blue staplers and grey staplers were put into the container. For every 9 green staplers that were already in the container, 6 grey ones were added. Then, the final number of silver staplers and blue staplers was ⁴₅ the final number of green staplers and grey staplers. Find the total number of blue and grey staplers.

Blue staplers	Silver staplers	Green staplers	Grey staplers
	1x3	6x3
		9x2	6x2
4x6		5x6
21 u	3 u	18 u	12 u

The number of green staplers is repeated.  Make the number of green staplers the same.  LCM of 6 and 9 is 18.

The total number of green staplers and grey staplers is repeated.  Make the total number of green and grey staplers the same.  LCM of 30 and 5 is 30.

Total number of silver staplers and green staplers
= 3 u + 18 u
= 21 u

21 u = 147

1 u = 147 ÷ 21 = 7

Total number of blue and grey staplers
= 21 u + 12 u
= 33 u
= 33 x 7
= 231

Answer(s): 231