A total of 99 pink pens and black pens are in a container. The ratio of pink pens to black pens was 3 : 8. Some red pens and green pens were put into the container. For every 6 black pens that were already in the container, 5 green ones were added. Then, the final number of pink pens and red pens was ¹₄ the final number of black pens and green pens. Find the total number of red and green pens.

Red pens	Pink pens	Black pens	Green pens
	3x3	8x3
		6x4	5x4
1x11		4x11
2 u	9 u	24 u	20 u

The number of black pens is repeated.  Make the number of black pens the same.  LCM of 8 and 6 is 24.

The total number of black pens and green pens is repeated.  Make the total number of black and green pens the same.  LCM of 44 and 4 is 44.

Total number of pink pens and black pens
= 9 u + 24 u
= 33 u

33 u = 99

1 u = 99 ÷ 33 = 3

Total number of red and green pens
= 2 u + 20 u
= 22 u
= 22 x 3
= 66

Answer(s): 66