Question

Hip hop music makes up 75% of Landon's music library. If he has downloaded 120 hip hop songs, how many songs does Landon have in his music library? (Explain your answer/show your work)

Answer 1

Answer: 160 songs.

Step-by-step explanation:

75% hip hop music   -    120 songs

100% all music          -     x songs

Let's write the proportion:

$\dfrac{120}{75} =\dfrac{x}{100} \\\\75x=120 \cdot 100\\75x=12000\\75x : 75 = 12000 : 75\\x = 160$

Thus, Landon have 160 songs in his music library.