Question

A survey showed that 9 of every 25 students liked dogs while 13 of every 20 students liked cats. How many more of the students like cats than dogs?

Answer 1

If the total number of students is 100, then 36 students like dogs and 65 like cats. So 29 more students like cats than dogs.

Answer 2

`(29)/(100)`

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:

`(9)/(25)` and
`(13)/(20)`

To solve our given problem, we will subtract fraction of students like dogs from fraction of student that like cats.

`(13)/(20)-(9)/(25)`

Make a common denominator:

`(13*5)/(20*5)-(9*4)/(25*4)`

`(65)/(100)-(36)/(100)`

`(65-36)/(100)`

`(29)/(100)`

Therefore,
`(29)/(100)` students like cats more than dogs.