Question

Kelsey loves music and has a playlist for every occasion. On her dance party playlist, she has 15 rock songs and 25 country songs. On her summer barbecue playlist, she has 9 rock songs and 15 country songs. Does Kelsey have the same ratio of rock songs to country songs on both playlists?

Answer 1

Yes

Explanation:

Dance party playlist:

She has 15 rock songs, and 25 country songs, meaning the ratio is:

15:25

Summer barbecue playlist:

She has 9 rock songs, and 15 country songs, meaning the ratio is:

9:15

Having a ratio is the same as dividing, so for the dance party playlist we can divide 15/25, which is 0.6, and do the same for the summer BBQ playlist, 9/15, which is also 0.6

So, yes, both playlists have the same ratio of both songs.