Question

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?

Answer 1

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 = 4×60+12=252 seconds

3 minutes 54 seconds = 4×60−6=234

seconds

Set up a direct proportion using equivalent fractions:

x234=462/252

←beats/←seconds

x=234×462/252

x=429 beats