If 75% of 800 recording artists are in the music industry for the love of music, but two-thirds of these later change their mind, how many of all the recording artists are doing it for the love of music?
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75% of 800= 600
2 thirds of 600=400
so your answer is 200
2 thirds of 600=400
so your answer is 200
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at the begining it will be 0.75*800=600 artists
people who change their mind: 600*2/3=400
the rest of the artists are 600-400=200
people who change their mind: 600*2/3=400
the rest of the artists are 600-400=200
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75% of 800 is 800 * .75 = 600. 2/3 change their mind, so 1/3 is all that remains. 600*(1/3) = 200.
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0.33*0.75*800 = 200
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only 400 of them are doing it for the love of music.
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200