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

Answer:

$\frac{29}{100}$

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:

$\frac{9}{25}$ and $\frac{13}{20}$

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

$\frac{13}{20}-\frac{9}{25}$

Make a common denominator:

$\frac{13*5}{20*5}-\frac{9*4}{25*4}$

$\frac{65}{100}-\frac{36}{100}$

$\frac{65-36}{100}$

$\frac{29}{100}$

Therefore, $\frac{29}{100}$ students like cats more than dogs.

Answer 2

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.