Agarden supply store sells two types of lawn mowers. total sales of mowers for the year were $8379.79. the total number of mowers sold was 30. the small mower costs $249.99. the large mower costs $329.99. find the number of large mowers sold.

11.

Step-by-step explanation:

Let x be the number of large mowers and y be the number of small mowers.

We have been given that a garden supply store sells two types of lawn mowers. The total number of mowers sold was 30. We can represent this information in an equation as:

We are also told that the large mower costs $329.99. This means cost of x mowers will be 329.99x.

The small mower costs $249.99. This means cost of y mowers will be 249.99y.

Since total sales of mowers for the year were $8379.79. So we can represent this information in an equation as:

We will use substitution method to solve system of equations. From equation (1) we will get,

Upon substituting this value in equation (2) we will get,

Let us divide both sides of our equation by 80.

Therefore, 11 large mowers were sold.