Question

18 out of 24 of Emils CDs are country music 5 out of 8 of Imanis CDs are country music. Which is a true statement A Half of each CD coleection consists of country music B less than half od ech CD collection consists of country music E Emil has a greater fraction of country music than Imani
D imani has greater fractionof country music than Emil which one is true A B C or D

Answer 1

Answer:
The third choice is the correct one : Emily has a greater fraction of country music than Imani.

Explanation:
For Emily:
18 out of 24 of the CDs are country music.
This means that the ratio is 3/4 which greater then 1/2

For Imani:
5 out of 8 of the CDs are country music
This means that the ratio is 5/8 which is also greater than 1/2

Now, let's check the choices:
First choice:
Half of each CD collection consists of country music.
This choice is wrong as we have noted that the ratio for both is greater than 1/2

Second choice:
less than half of each CD collection consists of country music.
This choice is wrong as we have noted that the ratio for both is greater than 1/2

Third choice:
Emily has a greater fraction of country music than Imani.
Emily - Imani = 3/4 - 5/8 = 1/8
This means that Emily has more country music than Imani
Therefore, this choice is correct

Fourth choice:
Imani has greater fraction of country music than Emil.
This choice is wrong as we have noted in the third option that Emily has a larger fraction.

Based on the above:
The third choice is the correct one.

Hope this helps :)