A total of 224 pink pencils and red pencils are in a container. The ratio of pink pencils to red pencils was 2 : 5. Some grey pencils and silver pencils were put into the container. For every 4 red pencils that were already in the container, 2 silver ones were added. Then, the final number of pink pencils and grey pencils was ⁴₅ the final number of red pencils and silver pencils. Find the total number of grey and silver pencils.

Grey pencils	Pink pencils	Red pencils	Silver pencils
	2x4	5x4
		4x5	2x5
4x6		5x6
16 u	8 u	20 u	10 u

The number of red pencils is repeated.  Make the number of red pencils the same.  LCM of 5 and 4 is 20.

The total number of red pencils and silver pencils is repeated.  Make the total number of red and silver pencils the same.  LCM of 30 and 5 is 30.

Total number of pink pencils and red pencils
= 8 u + 20 u
= 28 u

28 u = 224

1 u = 224 ÷ 28 = 8

Total number of grey and silver pencils
= 16 u + 10 u
= 26 u
= 26 x 8
= 208

Answer(s): 208