Agarden supply store sells two types of lawn mowers. total ales 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.

write and solve a system of equations to find the number sold of each type of mower.

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:

Subtracting both sides by 7499.7 we get:

Dividing both sides by 80 we get:

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.

ou would have 12 of each