A total of 35 white pens and brown pens are in a container. The ratio of white pens to brown pens was 1 : 6. Some green pens and yellow pens were put into the container. For every 1 brown pens that were already in the container, 3 yellow ones were added. Then, the final number of white pens and green pens was ³₈ the final number of brown pens and yellow pens. Find the total number of green and yellow pens.

Green pens	White pens	Brown pens	Yellow pens
	1x1	6x1
		1x6	3x6
3x3		8x3
8 u	1 u	6 u	18 u

The number of brown pens is repeated.  Make the number of brown pens the same.  LCM of 6 and 1 is 6.

The total number of brown pens and yellow pens is repeated.  Make the total number of brown and yellow pens the same.  LCM of 24 and 8 is 24.

Total number of white pens and brown pens
= 1 u + 6 u
= 7 u

7 u = 35

1 u = 35 ÷ 7 = 5

Total number of green and yellow pens
= 8 u + 18 u
= 26 u
= 26 x 5
= 130

Answer(s): 130