Japheth and Sam have some green markers and some purple markers. The number of purple markers Japheth has is equal to the number of green markers Sam has. ¹₄ of Japheth's markers are green and ¹₃ of Sam's markers are purple. There are a total of 88 green markers. Find the total number of markers they have.

Japheth		Sam		Total
Green	Purple	Green	Purple
	1x6	1x6
1x2	3x2	2x3	1x3
2 u	6 u	6 u	3 u	17 u

The number of Japheth's purple markers and Sam's green markers is the same.

The number of Japheth's purple markers is repeated. The number of Sam's green markers is repeated.  Make the number of Japheth's purple markers and Sam's green markers the same.  LCM of 3 and 4 is 6.

Number of green markers
= 2 u + 6 u
= 8 u

8 u = 88

1 u = 88 ÷ 8 = 11

Total number of markers
= 2 u + 6 u + 6 u + 3 u
= 17 u
= 17 x 11
= 187

Answer(s): 187