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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!

Respuesta :

konrad509

x - hip-hop CDs

x+3 - rock CDs

[tex] |\Omega|=x+x+3=2x+3\\|A|=x\\\\P(A)=\dfrac{x}{2x+3}=\dfrac{2}{5}\\\dfrac{x}{2x+3}=\dfrac{2}{5}\\5x=4x+6\\x=6\\\\x+3=9 [/tex]

6 hip-hop CDs, 9 rock CDs

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