A band expects to put 12 songs on their next CD. The band writes and records ​2% more songs than they expect to put on the CD. During the editing​ process, ​40% of the songs are removed. How many songs will there be on the final​ CD?

Respuesta :

Step-by-step explanation:

they expect originally to put 12 songs on the CD.

are you sure about the 2% ? is that not 20% ? or better 25%.

because

100% = 12

1% = 100%/100 = 12/100 = 0.12

2% = 1%×2 = 0.12×2 = 0.24

"0.24 songs more" does not really make any sense.

20% would then be 2.4 songs, which would mean 2 songs, but 2 would be only 2/0.12=16.7%.

but 25% would be 0.12×25 = 3. so, 3 songs more.

and that makes sense.

so, they produced 25% or 3 songs more than they expected to put on the CD. that is 12+3=15 songs.

now, we have a new 100% :

100% = 15

1% = 15/100 = 0.15

40% = 0.15×40 = 6

so, 6 songs are removed.

that leaves 9 songs on the CD.

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