Finding the Number of Type A Widgets

A factory produces two types of widgets: Type A and Type B. Each Type A widget costs $5 to manufacture, while each Type B widget costs $8. In one week, the factory produced a total of 120 widgets, and the cost to produce all of them was $680. If the number of Type A widgets produced was $x$ and the number of Type B widgets produced was $y$, which of the following equations can be used to find the number of Type A widgets produced?

Consider the following relationships:

The number of widgets produced: $$x + y = 120$$

The total cost of the widgets: $$5x + 8y = 680$$

Identify the correct equation that relates $x$ and $y$ to solve for $x$.