A total of 14 gold markers and blue markers are in a container. The ratio of gold markers to blue markers was 1 : 6. Some purple markers and red markers were put into the container. For every 1 blue markers that were already in the container, 3 red ones were added. Then, the final number of gold markers and purple markers was ¹₃ the final number of blue markers and red markers. Find the total number of purple and red markers.

Purple markers	Gold markers	Blue markers	Red markers
	1x1	6x1
		1x6	3x6
1x8		3x8
7 u	1 u	6 u	18 u

The number of blue markers is repeated.  Make the number of blue markers the same.  LCM of 6 and 1 is 6.

The total number of blue markers and red markers is repeated.  Make the total number of blue and red markers the same.  LCM of 24 and 3 is 24.

Total number of gold markers and blue markers
= 1 u + 6 u
= 7 u

7 u = 14

1 u = 14 ÷ 7 = 2

Total number of purple and red markers
= 7 u + 18 u
= 25 u
= 25 x 2
= 50

Answer(s): 50