Question

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

Answer 1

j + i + t = 36
j = 2i
t = j + 1.....t = 2i + 1

(2i + 1) + i + (2i) = 36
5i + 1 = 36
5i = 36 - 1
5i = 35
i = 35/5
i = 7 <=== Inez downloaded 7 songs

j = 2i = 2(7) = 14 <==Jane downloaded 14 songs
t = 2i + 1 = 2(7) + 1 = 15 <== Tracy downloaded 15 songs