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. How many beats should there be in the second song?

1 Answer
Mar 25, 2018

Answer:

#429# beats

Explanation:

The number of beats is proportional to the time of the song.

Convert the time to seconds to avoid recurring decimals.

#4# minutes #12# seconds = #4xx60+12 = 252# seconds

#3# minutes #54# seconds = #4xx60-6 = 234# seconds

Set up a direct proportion using equivalent fractions:

#x/234 = 462/252" "(larr"beats")/(larr"seconds")#

#x = (234xx462)/252#

#x=429# beats