Kelsey loves music and has a playlist every occasion. On her dance part playlist, she has 15 rock songs and 25 country song. 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 playlist?

Yes

Step-by-step explanation:

Givens

Original Ratios (rock : country)

Dance --> 15 : 25

Summer --> 9 : 15

Simplify

Dance

15 : 25 all divided by 5

3 : 5

Summer

9 : 15 simplify by dividing everything by 3

3 : 5

Yes, it is the same ratio for rock and country songs for both parts of the playlist.

ad = ae + ed = y + 7

similar triangles therefor

ac/ab = ad/ae

6/4 = (y + 7) / y

cross multiply

6y = 4(y + 7)

6y = 4y + 28

2y = 28

y = 14

step-by-step explanation:

associative property hopes this ! : )

step-by-step explanation: