Will and Ivan have some green pencils and some gold pencils. The number of gold pencils Will has is equal to the number of green pencils Ivan has. ¹₅ of Will's pencils are green and ¹₄ of Ivan's pencils are gold. There are a total of 90 green pencils. Find the total number of pencils they have.

Will		Ivan		Total
Green	Gold	Green	Gold
	1x12	1x12
1x3	4x3	3x4	1x4
3 u	12 u	12 u	4 u	31 u

The number of Will's gold pencils and Ivan's green pencils is the same.

The number of Will's gold pencils is repeated. The number of Ivan's green pencils is repeated.  Make the number of Will's gold pencils and Ivan's green pencils the same.  LCM of 4 and 5 is 12.

Number of green pencils
= 3 u + 12 u
= 15 u

15 u = 90

1 u = 90 ÷ 15 = 6

Total number of pencils
= 3 u + 12 u + 12 u + 4 u
= 31 u
= 31 x 6
= 186

Answer(s): 186