Problema Solution

Linda and Aaron recorded a CD together. Each sang some solos and both of them sang some duets. Aaron recorded twice as mnay duets as solos, and Linda recorded six more solos than duets, If a CD player selects one song at random, the probability that it will select a duet is 1/4. find the number of: a) solos by Aaron b) duets

Answer provided by our tutors

let solos by aaron = x

duet by aaron = 2x

solos by linda = y

duets by linda = y-6

=> 2x = y-6

=> y = 2x+6

p(duet) = 2x/(3x+y)

=> 2x/(5x+6) = 1/4

=> x = 2

solos by aaron = 2

duet by aaron and linda = 4

solo by linda = 10