A total of 60 gold pencils and black pencils are in a container. The ratio of gold pencils to black pencils was 1 : 4. Some pink pencils and green pencils were put into the container. For every 8 black pencils that were already in the container, 7 green ones were added. Then, the final number of gold pencils and pink pencils was ³₅ the final number of black pencils and green pencils. Find the total number of pink and green pencils.

Pink pencils	Gold pencils	Black pencils	Green pencils
	1x2	4x2
		8x1	7x1
3x3		5x3
7 u	2 u	8 u	7 u

The number of black pencils is repeated.  Make the number of black pencils the same.  LCM of 4 and 8 is 8.

The total number of black pencils and green pencils is repeated.  Make the total number of black and green pencils the same.  LCM of 15 and 5 is 15.

Total number of gold pencils and black pencils
= 2 u + 8 u
= 10 u

10 u = 60

1 u = 60 ÷ 10 = 6

Total number of pink and green pencils
= 7 u + 7 u
= 14 u
= 14 x 6
= 84

Answer(s): 84