Question

Nathaniel's sister has 5/6 as many songs on her MP3 player as he has on his MP3 player. His sister has 35 songs. How many songs does Nathaniel have?

Answer 1

He has 42 songs on his mp3 player.

Answer 2

42 songs.

Explanation:

Let x represent the number of songs Nathaniel's has.

We have been given that Nathaniel's sister has 5/6 as many songs on her MP3 player as he has on his MP3 player. This means his sister has
`(5)/(6)x` songs.

We are also told that his sister has 35 songs. We can represent our given information in an equation as:

`(5)/(6)x=35`

Let us solve for x.

`(6)/(5)\cdot (5)/(6)x=(6)/(5)\cdot35`

`x=6\cdot 7`

`x=42`

Therefore, Nathaniel has 42 songs.