Answer:
42 songs.
Step-by-step 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 [tex]\frac{5}{6}x[/tex] songs.
We are also told that his sister has 35 songs. We can represent our given information in an equation as:
[tex]\frac{5}{6}x=35[/tex]
Let us solve for x.
[tex]\frac{6}{5}\cdot \frac{5}{6}x=\frac{6}{5}\cdot35[/tex]
[tex]x=6\cdot 7[/tex]
[tex]x=42[/tex]
Therefore, Nathaniel has 42 songs.
