Answer: 160 songs.
Step-by-step explanation:
75% hip hop music - 120 songs
100% all music - x songs
Let's write the proportion:
[tex]\dfrac{120}{75} =\dfrac{x}{100} \\\\75x=120 \cdot 100\\75x=12000\\75x : 75 = 12000 : 75\\x = 160[/tex]
Thus, Landon have 160 songs in his music library.