Vincent and Henry have some pink notebooks and some silver notebooks. The number of silver notebooks Vincent has is equal to the number of pink notebooks Henry has. ²₃ of Vincent's notebooks are pink and ¹₄ of Henry's notebooks are silver. There are a total of 45 pink notebooks. Find the total number of notebooks they have.

Vincent		Henry		Total
Pink	Silver	Pink	Silver
	1x3	1x3
2x3	1x3	3x1	1x1
6 u	3 u	3 u	1 u	13 u

The number of Vincent's silver notebooks and Henry's pink notebooks is the same.

The number of Vincent's silver notebooks is repeated. The number of Henry's pink notebooks is repeated.  Make the number of Vincent's silver notebooks and Henry's pink notebooks the same.  LCM of 1 and 3 is 3.

Number of pink notebooks
= 6 u + 3 u
= 9 u

9 u = 45

1 u = 45 ÷ 9 = 5

Total number of notebooks
= 6 u + 3 u + 3 u + 1 u
= 13 u
= 13 x 5
= 65

Answer(s): 65