Question

The ratio of the number of songs Brody bought to the number of songs Jayliah bought is 2:3. The ratio of the number of songs Jayilah has bought to the number of songs Sadie bought is 4:5. If Sadie has bought 30 songs how many songs has Brody bought.

Answer 1

Answer:

Brody purchased 16 songs.

Step-by-step explanation:

Ratio of the number of songs purchased by Brody(B) and Jayliah(J) = 2 : 3

$\frac{B}{J}=\frac{2}{3}$ ------(1)

Similarly ratio of the songs purchased by Jayliah(J) and Sadie(S) = 4 : 5

$\frac{J}{S}=\frac{4}{5}$ -------(2)

If Sadie bought the songs (S) = 30

From equation (2),

$\frac{J}{30}=\frac{4}{5}$

J = $\frac{4\times 30}{5}$

J = 24

By substituting the value J = 24 in equation (1),

$\frac{B}{24}= \frac{2}{3}$

B = $\frac{2\times 24}{3}$

B = 16

Therefore, number of songs purchased by Brody = 16.