Answer:
The number of small mowers are 19 and the large mowers are 11.
Step-by-step explanation:
Given:
A garden supply store sells two types of lawn mowers. Total sales of mowers for the year were $8379.70. The total number of mowers sold the 30. The small mower cost $249.99 and the large mower costs $329.99.
Now, to find the number of each type of mower sold.
Let the number of small mower be 
And the number of large mower be 
So, total number of mowers are:


Now, the total sales of mowers are:

Substituting the value of
from equation (1) we get:



<em>Subtracting both sides by 7499.7 we get:</em>

<em>Dividing both sides by 80 we get:</em>

The number of large mower = 11.
Now, to get the number of small mowers we substitute the value of
in equation ( 1 ):

The number of small mower = 19.
Therefore, the number of small mowers are 19 and the large mowers are 11.