Final answer:
Eva has 24 pins and Dulcina has 58 pins in her collection.
Step-by-step explanation:
Eva and Dulcina have a total of 82 pins. Let's assume that Eva has x pins.
According to the information given, Dulcina has 34 more pins than Eva.
So, Dulcina must have (x + 34) pins.
The sum of their pins is 82, so we can form the equation: x + (x + 34) = 82.
Simplifying this equation, we get 2x + 34 = 82.
Subtracting 34 from both sides, we have 2x = 48.
Dividing both sides by 2, we find that x = 24.
Therefore, Eva has 24 pins and Dulcina has (24 + 34) = 58 pins in her collection.