Question

John was looking at his streaming music stats. the ratio of songs he liked to disliked was 5.2. If he listened to 63 songs total how many did he like

Answer 1

liked = 45 ; disliked = 18

Explanation:

Let the number of songs he liked be x & disliked be y.

The ratio of x & y :-

`(x)/(y) = (5)/(2) \\ = > 2x = 5y \: \: \: \:`

And total number of songs he listened = 63

Then, x + y = 63...................eqn.1

=> x = 63 - y

Substituting the value of x in eqn. 2x = 5y gives :-

2(63 - y) = 5y

=> 126 - 2y = 5y

=> 7y = 126

=> y = 18

Substituting the value of y in eqn.1 gives

x = 63 - 18

= 45

Hence no. of songs he liked = 45 & disliked = 18