Question

Please Help!!!

Laura''s CDs are either rock or hip-hop music. She has 3 more rock CDs than hip-hop CDs. If a CD is taken at random from her collection, the probability that it will be hip-hop is 2/5. How many rock CDs and how many hip-hop CDs does she have?
PLEASE explain how you got your answer... step by step please!

Answer 1

x - hip-hop CDs

x+3 - rock CDs

`|\Omega|=x+x+3=2x+3\\|A|=x\\\\P(A)=(x)/(2x+3)=(2)/(5)\\(x)/(2x+3)=(2)/(5)\\5x=4x+6\\x=6\\\\x+3=9`

6 hip-hop CDs, 9 rock CDs