Luis and Oscar have some brown pencils and some yellow pencils. The number of yellow pencils Luis has is equal to the number of brown pencils Oscar has. ¹₄ of Luis's pencils are brown and ⁵₆ of Oscar's pencils are yellow. There are a total of 36 brown pencils. Find the total number of pencils they have.

Luis		Oscar		Total
Brown	Yellow	Brown	Yellow
	1x3	1x3
1x1	3x1	1x3	5x3
1 u	3 u	3 u	15 u	22 u

The number of Luis's yellow pencils and Oscar's brown pencils is the same.

The number of Luis's yellow pencils is repeated. The number of Oscar's brown pencils is repeated.  Make the number of Luis's yellow pencils and Oscar's brown pencils the same.  LCM of 3 and 4 is 3.

Number of brown pencils
= 1 u + 3 u
= 4 u

4 u = 36

1 u = 36 ÷ 4 = 9

Total number of pencils
= 1 u + 3 u + 3 u + 15 u
= 22 u
= 22 x 9
= 198

Answer(s): 198