Suppose the dragonfly catches x pests,

The frog caught four times as many pests as the dragonfly, so the frog caught four times as many pests.

Little frogs and dragonflies caught 35 pests.

Then X+4X=35.

Solution: X=7

Then 4X=4*7=28.

So the little frog caught 28 pests and the little dragonfly caught 7 pests.

Extended data

Steps to solve application problems with column equations;

1, practical problems (review, find out all known and unknown conditions and quantitative relationships).

2. Set the last known number (usually direct and sometimes indirect), and use the algebraic expression of the last known number to represent all the last known quantities.

3. Find the equation relationship.

4. Solve the equation and find other unknowns.

5, test (test whether it is the solution of the original equation, whether it is in line with the practical significance).

6. answer.