A garden supply store sells two types of lawn mowers. The smaller mower costs $249.99 and the larger mower cost $329.99. If 30 total mowers were sold and the total sales for a given year was $8379.70, find how many of each type were sold.

19 small and 11 large were sold

Explanation:

Systems of Equations

Gather your info:

249.99 (small mowers) are x

329.99 (large mowers) are y

249.99x + 329.99y = $8379.70 total money made

x + y = 30 total were sold

substitution method is what I used.

1. Substitute y-30 (because x = 30 - y when you subtract y from both sides) for x and get 249.99(30-y) + 329.99y = 8379.70.

2. Then distribute the 249.99 to the -y and 30 to get -249.99y + 7499.70 +329.99y = 8379.70

3. Then combine like terms to get  80y +7499.70 =8379.70.

4. Finally, subtract 7499.70 from both sides to get 80y=880.

5. Divide both sides by 80 to get y=11. So there were 11 large lawn mowers sold and that means the 19 left to get 30 total. So 19 have to be the small mowers.