Question

The ratio of alternative songs to total songs is 9:14. My music library has 308 total songs. How many are NOT alternative songs? (Set up a proportion and solve.)

Answer 1

110

Explanation:

Rate or proportion shows the relationship between the variation in the number of two variables.

Given that the ratio of alternative songs to total songs is 9:14.

Total songs = 308

Since the to every 14 total songs, there is 9 alternative songs.

Thus,

Number of alternative songs =
`(9)/(14)` x 308

= 198

There are 198 alternative songs in the music library.

The number of songs that are NOT alternative songs = 308 - 198

= 110

Thus, there are 110 songs that are NOT alternative songs.