For this case we have that Frannie placed [tex]\frac {2} {3}[/tex]of her collection of music on the MP3 player, on vacation I hear [tex]\frac {3} {5}[/tex] of those [tex]\frac {2} {3}[/tex] of music. Now, to know how much music I hear on holiday we have the following rule of three:
If [tex]\frac {2} {3}[/tex]represent all of the music in the player, we want to know how much they represent [tex]\frac {3} {5}[/tex]
[tex]\frac {2} {3} ----------------> 1\\\frac {3} {5} ----------------> x[/tex]
Where "x" represents the amount of music heard on vacation:
[tex]x = \frac {\frac {3} {5} * 1} {\frac {2} {3}}x = \frac {9} {10}[/tex]
ANswer:
[tex]x = \frac {9} {10}[/tex]
