A total of 144 green punchers and yellow punchers are in a container. The ratio of green punchers to yellow punchers was 1 : 2. Some grey punchers and white punchers were put into the container. For every 8 yellow punchers that were already in the container, 7 white ones were added. Then, the final number of green punchers and grey punchers was ⁴₅ the final number of yellow punchers and white punchers. Find the total number of grey and white punchers.

Grey punchers	Green punchers	Yellow punchers	White punchers
	1x4	2x4
		8x1	7x1
4x3		5x3
8 u	4 u	8 u	7 u

The number of yellow punchers is repeated.  Make the number of yellow punchers the same.  LCM of 2 and 8 is 8.

The total number of yellow punchers and white punchers is repeated.  Make the total number of yellow and white punchers the same.  LCM of 15 and 5 is 15.

Total number of green punchers and yellow punchers
= 4 u + 8 u
= 12 u

12 u = 144

1 u = 144 ÷ 12 = 12

Total number of grey and white punchers
= 8 u + 7 u
= 15 u
= 15 x 12
= 180

Answer(s): 180