A total of 48 yellow staplers and black staplers are in a container. The ratio of yellow staplers to black staplers was 1 : 3. Some green staplers and purple staplers were put into the container. For every 9 black staplers that were already in the container, 7 purple ones were added. Then, the final number of yellow staplers and green staplers was ⁵₈ the final number of black staplers and purple staplers. Find the total number of green and purple staplers.

Green staplers	Yellow staplers	Black staplers	Purple staplers
	1x3	3x3
		9x1	7x1
5x2		8x2
7 u	3 u	9 u	7 u

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

The total number of black staplers and purple staplers is repeated.  Make the total number of black and purple staplers the same.  LCM of 16 and 8 is 16.

Total number of yellow staplers and black staplers
= 3 u + 9 u
= 12 u

12 u = 48

1 u = 48 ÷ 12 = 4

Total number of green and purple staplers
= 7 u + 7 u
= 14 u
= 14 x 4
= 56

Answer(s): 56