Joshar has a collection of 1200 music CDs. He considers 1/6 of his collection rock music. Of the rock music CDs, 20% are by solo artists. Of the solo artists 2/5 are by female artists. How many CDs are by solo artists? How many of the CDs are by female solo artists?

40 CDs are by solo artists and 16 of the CDs are by female solo artists

Step-by-step explanation:

According to the question, Joshar has a collection of 1200 music CDs. He considers 1/6 of his collection rock music. Of the rock music CDs, 20% are by solo artists. Of the solo artists 2/5 are by female artists.

We are now asked to find many of the CDs are by solo artists and how many of the CDs are by female solo artists?

Joshar has 1200 music CD collection,

If 1/6 of his collection is rock music then the amount of rock music CD's with him is

1/6 × 1200

= 200

20% of the rock music CDs are by solo artists ie

20/100 × 200

= 40 CDs are by solo artists

Out of this 40 CD's, 2/5 of them are by female artists ie

2/5 × 40

= 16 are by female artists.

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