Vincent and Sam have some white pencils and some yellow pencils. The number of yellow pencils Vincent has is equal to the number of white pencils Sam has. ³₄ of Vincent's pencils are white and ¹₄ of Sam's pencils are yellow. There are a total of 60 white pencils. Find the total number of pencils they have.

Vincent		Sam		Total
White	Yellow	White	Yellow
	1x3	1x3
3x3	1x3	3x1	1x1
9 u	3 u	3 u	1 u	16 u

The number of Vincent's yellow pencils and Sam's white pencils is the same.

The number of Vincent's yellow pencils is repeated. The number of Sam's white pencils is repeated.  Make the number of Vincent's yellow pencils and Sam's white pencils the same.  LCM of 1 and 4 is 3.

Number of white pencils
= 9 u + 3 u
= 12 u

12 u = 60

1 u = 60 ÷ 12 = 5

Total number of pencils
= 9 u + 3 u + 3 u + 1 u
= 16 u
= 16 x 5
= 80

Answer(s): 80