A total of 24 pink punchers and blue punchers are in a container. The ratio of pink punchers to blue punchers was 1 : 2. Some gold punchers and yellow punchers were put into the container. For every 1 blue punchers that were already in the container, 13 yellow ones were added. Then, the final number of pink punchers and gold punchers was ¹₇ the final number of blue punchers and yellow punchers. Find the total number of gold and yellow punchers.

Gold punchers	Pink punchers	Blue punchers	Yellow punchers
	1x1	2x1
		1x2	13x2
1x4		7x4
3 u	1 u	2 u	26 u

The number of blue punchers is repeated.  Make the number of blue punchers the same.  LCM of 2 and 1 is 2.

The total number of blue punchers and yellow punchers is repeated.  Make the total number of blue and yellow punchers the same.  LCM of 28 and 7 is 28.

Total number of pink punchers and blue punchers
= 1 u + 2 u
= 3 u

3 u = 24

1 u = 24 ÷ 3 = 8

Total number of gold and yellow punchers
= 3 u + 26 u
= 29 u
= 29 x 8
= 232

Answer(s): 232