A total of 39 pink staplers and gold staplers are in a container. The ratio of pink staplers to gold staplers was 4 : 9. Some red staplers and yellow staplers were put into the container. For every 3 gold staplers that were already in the container, 11 yellow ones were added. Then, the final number of pink staplers and red staplers was ⁵₆ the final number of gold staplers and yellow staplers. Find the total number of red and yellow staplers.

Red staplers	Pink staplers	Gold staplers	Yellow staplers
	4x1	9x1
		3x3	11x3
5x7		6x7
31 u	4 u	9 u	33 u

The number of gold staplers is repeated.  Make the number of gold staplers the same.  LCM of 9 and 3 is 9.

The total number of gold staplers and yellow staplers is repeated.  Make the total number of gold and yellow staplers the same.  LCM of 42 and 6 is 42.

Total number of pink staplers and gold staplers
= 4 u + 9 u
= 13 u

13 u = 39

1 u = 39 ÷ 13 = 3

Total number of red and yellow staplers
= 31 u + 33 u
= 64 u
= 64 x 3
= 192

Answer(s): 192