A total of 42 grey staplers and gold staplers are in a container. The ratio of grey staplers to gold staplers was 1 : 6. Some blue staplers and pink staplers were put into the container. For every 2 gold staplers that were already in the container, 10 pink ones were added. Then, the final number of grey staplers and blue staplers was ¹₃ the final number of gold staplers and pink staplers. Find the total number of blue and pink staplers.

Blue staplers	Grey staplers	Gold staplers	Pink staplers
	1x1	6x1
		2x3	10x3
1x12		3x12
11 u	1 u	6 u	30 u

The number of gold staplers is repeated.  Make the number of gold staplers the same.  LCM of 6 and 2 is 6.

The total number of gold staplers and pink staplers is repeated.  Make the total number of gold and pink staplers the same.  LCM of 36 and 3 is 36.

Total number of grey staplers and gold staplers
= 1 u + 6 u
= 7 u

7 u = 42

1 u = 42 ÷ 7 = 6

Total number of blue and pink staplers
= 11 u + 30 u
= 41 u
= 41 x 6
= 246

Answer(s): 246