Bryan and Albert have some green pencils and some gold pencils. The number of gold pencils Bryan has is equal to the number of green pencils Albert has. ³₄ of Bryan's pencils are green and ¹₆ of Albert's pencils are gold. There are a total of 160 green pencils. Find the total number of pencils they have.

Bryan		Albert		Total
Green	Gold	Green	Gold
	1x5	1x5
3x5	1x5	5x1	1x1
15 u	5 u	5 u	1 u	26 u

The number of Bryan's gold pencils and Albert's green pencils is the same.

The number of Bryan's gold pencils is repeated. The number of Albert's green pencils is repeated.  Make the number of Bryan's gold pencils and Albert's green pencils the same.  LCM of 1 and 4 is 5.

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

20 u = 160

1 u = 160 ÷ 20 = 8

Total number of pencils
= 15 u + 5 u + 5 u + 1 u
= 26 u
= 26 x 8
= 208

Answer(s): 208