How many songs did each girl download

Question

Three girls downloaded a total of 36 songs on there iPods. Jane downloaded twice as many as Inez and since Tracy wanted to have the most she downloaded one more then Jane did how many songs did each girl download

Answer 1

Jane

Inez

Tracy

 

  J = 2*I = 2I <--- Jane downloaded twice as many as Inez

 

 T = J + 1 = 2I + 1 <--- Tracy downloaded one more than Jane, which is 1 more than twice Inez

 

 

 T + J + I = 36

 

2I + 1 + 2I + I = 36

 

 5I + 1 = 36

 

 5I = 35

 

 I = 7

 

Inez downloaded 7 songs

Jane downloaded 14 songs

Tracy downloaded 15 songs

The total is 36