A total of 112 pink pencils and brown pencils are in a container. The ratio of pink pencils to brown pencils was 1 : 3. Some grey pencils and silver pencils were put into the container. For every 7 brown pencils that were already in the container, 11 silver ones were added. Then, the final number of pink pencils and grey pencils was ¹₆ the final number of brown pencils and silver pencils. Find the total number of grey and silver pencils.

Grey pencils	Pink pencils	Brown pencils	Silver pencils
	1x7	3x7
		7x3	11x3
1x9		6x9
2 u	7 u	21 u	33 u

The number of brown pencils is repeated.  Make the number of brown pencils the same.  LCM of 3 and 7 is 21.

The total number of brown pencils and silver pencils is repeated.  Make the total number of brown and silver pencils the same.  LCM of 54 and 6 is 54.

Total number of pink pencils and brown pencils
= 7 u + 21 u
= 28 u

28 u = 112

1 u = 112 ÷ 28 = 4

Total number of grey and silver pencils
= 2 u + 33 u
= 35 u
= 35 x 4
= 140

Answer(s): 140