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

Brody purchased 16 songs.

Explanation:

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

`(B)/(J)=(2)/(3)` ------(1)

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

`(J)/(S)=(4)/(5)` -------(2)

If Sadie bought the songs (S) = 30

From equation (2),

`(J)/(30)=(4)/(5)`

J =
`(4* 30)/(5)`

J = 24

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

`(B)/(24)= (2)/(3)`

B =
`(2* 24)/(3)`

B = 16

Therefore, number of songs purchased by Brody = 16.