A total of 162 brown rulers and blue rulers are in a container. The ratio of brown rulers to blue rulers was 1 : 2. Some yellow rulers and silver rulers were put into the container. For every 9 blue rulers that were already in the container, 9 silver ones were added. Then, the final number of brown rulers and yellow rulers was ³₄ the final number of blue rulers and silver rulers. Find the total number of yellow and silver rulers.

Yellow rulers	Brown rulers	Blue rulers	Silver rulers
	1x9	2x9
		9x2	9x2
3x9		4x9
18 u	9 u	18 u	18 u

The number of blue rulers is repeated.  Make the number of blue rulers the same.  LCM of 2 and 9 is 18.

The total number of blue rulers and silver rulers is repeated.  Make the total number of blue and silver rulers the same.  LCM of 36 and 4 is 36.

Total number of brown rulers and blue rulers
= 9 u + 18 u
= 27 u

27 u = 162

1 u = 162 ÷ 27 = 6

Total number of yellow and silver rulers
= 18 u + 18 u
= 36 u
= 36 x 6
= 216

Answer(s): 216