Aband is trying to determine how many songs to record for their new album. the band members want to record no more than 16 songs, and their album has to be shorter than 78 minutes. they can record short songs that are about 3 minutes in length or long songs that are about 5 minutes in length. which system of inequalities best represents the number of short songs (x) and the number of long songs (y) the band can record for the new album?

a) 3x+5y< 78
x+y≤16

b) 3x+5y< 16
x+y≤78

c) 3x+5y≤78
x+y< 16

d) 3x+5y≤16
x+y< 78