Asher and Tim have some blue pencils and some brown pencils. The number of brown pencils Asher has is equal to the number of blue pencils Tim has. ¹₄ of Asher's pencils are blue and ¹₆ of Tim's pencils are brown. There are a total of 200 blue pencils. Find the total number of pencils they have.

Asher		Tim		Total
Blue	Brown	Blue	Brown
	1x15	1x15
1x5	3x5	5x3	1x3
5 u	15 u	15 u	3 u	38 u

The number of Asher's brown pencils and Tim's blue pencils is the same.

The number of Asher's brown pencils is repeated. The number of Tim's blue pencils is repeated.  Make the number of Asher's brown pencils and Tim's blue pencils the same.  LCM of 3 and 4 is 15.

Number of blue pencils
= 5 u + 15 u
= 20 u

20 u = 200

1 u = 200 ÷ 20 = 10

Total number of pencils
= 5 u + 15 u + 15 u + 3 u
= 38 u
= 38 x 10
= 380

Answer(s): 380