A total of 22 white rulers and green rulers are in a container. The ratio of white rulers to green rulers was 3 : 8. Some red rulers and silver rulers were put into the container. For every 2 green rulers that were already in the container, 7 silver ones were added. Then, the final number of white rulers and red rulers was ⁵₆ the final number of green rulers and silver rulers. Find the total number of red and silver rulers.

Red rulers	White rulers	Green rulers	Silver rulers
	3x1	8x1
		2x4	7x4
5x6		6x6
27 u	3 u	8 u	28 u

The number of green rulers is repeated.  Make the number of green rulers the same.  LCM of 8 and 2 is 8.

The total number of green rulers and silver rulers is repeated.  Make the total number of green and silver rulers the same.  LCM of 36 and 6 is 36.

Total number of white rulers and green rulers
= 3 u + 8 u
= 11 u

11 u = 22

1 u = 22 ÷ 11 = 2

Total number of red and silver rulers
= 27 u + 28 u
= 55 u
= 55 x 2
= 110

Answer(s): 110