Answer:
Brody purchased 16 songs.
Step-by-step explanation:
Ratio of the number of songs purchased by Brody(B) and Jayliah(J) = 2 : 3
[tex]\frac{B}{J}=\frac{2}{3}[/tex] ------(1)
Similarly ratio of the songs purchased by Jayliah(J) and Sadie(S) = 4 : 5
[tex]\frac{J}{S}=\frac{4}{5}[/tex] -------(2)
If Sadie bought the songs (S) = 30
From equation (2),
[tex]\frac{J}{30}=\frac{4}{5}[/tex]
J = [tex]\frac{4\times 30}{5}[/tex]
J = 24
By substituting the value J = 24 in equation (1),
[tex]\frac{B}{24}= \frac{2}{3}[/tex]
B = [tex]\frac{2\times 24}{3}[/tex]
B = 16
Therefore, number of songs purchased by Brody = 16.
