A total of 22 silver pens and black pens are in a container. The ratio of silver pens to black pens was 3 : 8. Some gold pens and pink pens were put into the container. For every 2 black pens that were already in the container, 7 pink ones were added. Then, the final number of silver pens and gold pens was ³₄ the final number of black pens and pink pens. Find the total number of gold and pink pens.

Gold pens	Silver pens	Black pens	Pink pens
	3x1	8x1
		2x4	7x4
3x9		4x9
24 u	3 u	8 u	28 u

The number of black pens is repeated.  Make the number of black pens the same.  LCM of 8 and 2 is 8.

The total number of black pens and pink pens is repeated.  Make the total number of black and pink pens the same.  LCM of 36 and 4 is 36.

Total number of silver pens and black pens
= 3 u + 8 u
= 11 u

11 u = 22

1 u = 22 ÷ 11 = 2

Total number of gold and pink pens
= 24 u + 28 u
= 52 u
= 52 x 2
= 104

Answer(s): 104