There were pink, red and grey beads in a box. Sean put another 6 pink beads and 5 grey beads in the box, then the ratio of the number of red beads to the number of grey beads became 5 : 3. Then, he doubled the number of pink beads and removed 29 grey beads. The ratio of the number of pink beads to red beads became 2 : 1. He counted and found that there were a total of 79 beads left in the box. Find the number of pink beads that he had in the end.

	Pink beads	Red beads	Grey beads	Total
Before	5 u - 6	5 u	3 u - 5
Change 1	+ 6		+ 5
After 1	1x5 = 5 u	5 u	3 u
Change 2	+ 1x5 = 5 u		- 29
After 2	2x5 = 10 u	1x5 = 5 u	3 u - 29	79

The number of red beads remains unchanged. Make the number of red beads the same. LCM of 1 and 5 is 5.

Total number of beads in the end
= 10 u + 5 u + 3 u - 29
= 18 u - 29

18 u - 29 = 79
18 u = 79 + 29
18 u = 108

1 u = 108 ÷ 18 = 6

Number of pink beads in the end
= 10 u 
= 10 x 6
= 60

Answer(s): 60