Answer:
[tex]\frac{29}{100}[/tex]
Step-by-step explanation:
We have been given that a survey showed that 9 of every 25 students liked dogs while 13 of every 20 students liked cats.
We can represent our given information as fraction:
[tex]\frac{9}{25}[/tex] and [tex]\frac{13}{20}[/tex]
To solve our given problem, we will subtract fraction of students like dogs from fraction of student that like cats.
[tex]\frac{13}{20}-\frac{9}{25}[/tex]
Make a common denominator:
[tex]\frac{13*5}{20*5}-\frac{9*4}{25*4}[/tex]
[tex]\frac{65}{100}-\frac{36}{100}[/tex]
[tex]\frac{65-36}{100}[/tex]
[tex]\frac{29}{100}[/tex]
Therefore, [tex]\frac{29}{100}[/tex] students like cats more than dogs.
