Question

Frannie put 2/3 of her music collection on an MP3 player. Vacation, she listen to 3/5 of music on the player. How much of Freddy's music collection did she listen to while on vacation? Describe how to solve the problem

Answer 1

It is 2/3 of whole collection

then it is 3/5 of the 2/3

therefore she heard 3/5 of music in 2/3 of her collection

=3/5×2/5

=6/25

Answer 2

For this case we have that Frannie placed
`\frac {2} {3}`of her collection of music on the MP3 player, on vacation I hear
`\frac {3} {5}` of those
`\frac {2} {3}` of music. Now, to know how much music I hear on holiday we have the following rule of three:

If
`\frac {2} {3}`represent all of the music in the player, we want to know how much they represent
`\frac {3} {5}`

`\frac {2} {3} ----------------> 1\\\frac {3} {5} ----------------> x`

Where "x" represents the amount of music heard on vacation:

`x = \frac {\frac {3} {5} * 1} {\frac {2} {3}}x = \frac {9} {10}`

ANswer:

`x = \frac {9} {10}`