Let's define the number of apples you bought as $x$.

Since you bought 5 more oranges than apples, the number of oranges is $x + 5$.

The cost of each apple is 30 cents, so the total cost of the apples is $0.30x$.

The cost of each orange is 25 cents, so the total cost of the oranges is $0.25(x + 5)$.

The total cost of the apples and oranges combined is $4.55, which can be written as 4.55 in dollars.

We can now set up the equation for the total cost:

$0.30x + 0.25(x + 5) = 4.55$

Let's solve this step-by-step:

$0.30x + 0.25x + 1.25 = 4.55$

Combine like terms:

$0.55x + 1.25 = 4.55$

Subtract 1.25 from both sides:

$0.55x = 3.30$

Now, divide both sides by 0.55:

$x = \frac{3.30}{0.55} = 6$

So, you bought 6 apples.

Would you like more details or have any questions?

Here are some related questions:

1. How many oranges did I buy?
2. What would be the total cost if I bought 7 apples instead?
3. How would the equation change if oranges cost 30 cents and apples 25 cents?
4. What is the total number of fruits I bought?
5. What if the total cost was $5 instead of $4.55?

Tip: Always check your solution by plugging values back into the original equation to ensure correctness.