Michael and Albert have some white files and some silver files. The number of silver files Michael has is equal to the number of white files Albert has. ¹₅ of Michael's files are white and ³₄ of Albert's files are silver. There are a total of 10 white files. Find the total number of files they have.

Michael		Albert		Total
White	Silver	White	Silver
	1x4	1x4
1x1	4x1	1x4	3x4
1 u	4 u	4 u	12 u	21 u

The number of Michael's silver files and Albert's white files is the same.

The number of Michael's silver files is repeated. The number of Albert's white files is repeated.  Make the number of Michael's silver files and Albert's white files the same.  LCM of 4 and 5 is 4.

Number of white files
= 1 u + 4 u
= 5 u

5 u = 10

1 u = 10 ÷ 5 = 2

Total number of files
= 1 u + 4 u + 4 u + 12 u
= 21 u
= 21 x 2
= 42

Answer(s): 42