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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?

User Sengs
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1 Answer

7 votes

Answer:

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

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.

User LogicalAnt
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