There were pink, white and yellow marbles in a jar. Sean put another 7 pink marbles and 14 yellow marbles in the jar, then the ratio of the number of white marbles to the number of yellow marbles became 5 : 2. Then, he doubled the number of pink marbles and removed 27 yellow marbles. The ratio of the number of pink marbles to white marbles became 2 : 1. He counted and found that there were a total of 92 marbles left in the jar. Find the number of pink marbles that he had in the end.

	Pink marbles	White marbles	Yellow marbles	Total
Before	5 u - 7	5 u	2 u - 14
Change 1	+ 7		+ 14
After 1	1x5 = 5 u	5 u	2 u
Change 2	+ 1x5 = 5 u		- 27
After 2	2x5 = 10 u	1x5 = 5 u	2 u - 27	92

The number of white marbles remains unchanged. Make the number of white marbles the same. LCM of 1 and 5 is 5.

Total number of marbles in the end
= 10 u + 5 u + 2 u - 27
= 17 u - 27

17 u - 27 = 92
17 u = 92 + 27
17 u = 119

1 u = 119 ÷ 17 = 7

Number of pink marbles in the end
= 10 u 
= 10 x 7
= 70

Answer(s): 70