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A band's first song is 4 minutes, 12 seconds long and has 462 beats.


The band wants to have a second song that is 3 minutes, 54 seconds long with the same beats per minute as the first song.


There would be

??

total beats in the second song.

Verified Answer :

bartdrinksmalk

4 minutes 12 seconds is 252 seconds
3 minutes 54 seconds is 234 seconds

252 seconds for 462 beats is in proportion with 234 seconds with some number of beats \(x\)

Set up the proportion:
\(\frac{252}{462}=\frac{234}{x}\)
⇒\(252x=234*462\)
⇒\(252x=108108\)
⇒\(x=429\)

So the new song has 429 beats.