Zeph and Ryan have some purple staplers and some gold staplers. The number of gold staplers Zeph has is equal to the number of purple staplers Ryan has. ¹₄ of Zeph's staplers are purple and ³₄ of Ryan's staplers are gold. There are a total of 24 purple staplers. Find the total number of staplers they have.

Zeph		Ryan		Total
Purple	Gold	Purple	Gold
	1x3	1x3
1x1	3x1	1x3	3x3
1 u	3 u	3 u	9 u	16 u

The number of Zeph's gold staplers and Ryan's purple staplers is the same.

The number of Zeph's gold staplers is repeated. The number of Ryan's purple staplers is repeated.  Make the number of Zeph's gold staplers and Ryan's purple staplers the same.  LCM of 3 and 4 is 3.

Number of purple staplers
= 1 u + 3 u
= 4 u

4 u = 24

1 u = 24 ÷ 4 = 6

Total number of staplers
= 1 u + 3 u + 3 u + 9 u
= 16 u
= 16 x 6
= 96

Answer(s): 96