Question

A singer and a producer each wrote songs for an upcoming album. The singer wrote 6 fewer than twice the number of songs that the producer wrote. They wrote a total of 54 songs. How many songs did the singer and producer wrote?

Answer 1

The producer wrote 20 songs

The Singer wrote 34 songs

Explanation:

Let

Number of songs the producer wrote = x

Number of songs the singer wrote = 2x - 6

Total songs written by singer and the producer = 54

54 = x + (2x - 6)

54 = x + 2x - 6

54 + 6 = 3x

60 = 3x

Divide both sides by 3

x = 60/3

= 20

x = 20 songs

Number of songs the producer wrote = x = 20 songs

Number of songs the singer wrote = 2x - 6

= 2(20) - 6

= 40 - 6

= 34 songs

The producer wrote 20 songs

The Singer wrote 34 songs