There were 3 dollars in Olivia's wallet. She collected 49 more dollars from an atm. After she visited a supermarket there were 49 dollars left. How much more money did she collect at the atm than she spent at the supermarket?
First, let's think about how much money she spent at the supermarket. She spent $x$ at the supermarket.

Now, let's think about how much money she got at the atm. She got $y$ at the atm.

We know that $x$ and $y$ are related by the equation:

$$y=x+100$$

Now, we can solve for $x$:

$$x=y-100$$

Now, we can plug this value of $x$ back into the equation for $y$:

$$y=(y-100)+100$$

Now, we can solve for $y$:

$$y=y$$

So, we see that $y=x$. In other words, she got the same amount of money at the atm as she spent at the supermarket.