19 small mowers and 11 large mowers are sold
<em><u>Solution:</u></em>
Let "a" be the number of small mowers sold
Let "b" be the number of large mowers sold
Cost of each small mower = $ 249.99
Cost of each large mower = $ 329.99
<em><u>30 total mowers were sold</u></em>
Therefore,
a + b = 30
a = 30 - b ------------- eqn 1
<em><u>The total sales for a given year was $8379.70</u></em>
<em><u>Thus we frame a equation as:</u></em>
number of small mowers sold x Cost of each small mower + number of large mowers sold x Cost of each large mower = 8379.70
249.99a + 329.99b = 8379.70 ---------- eqn 2
<em><u>Let us solve eqn 1 and eqn 2</u></em>
<em><u>Substitute eqn 1 in eqn 2</u></em>
249.99(30 - b) + 329.99b = 8379.70
7499.7 - 249.99b + 329.99b = 8379.70
80b = 8379.70 - 7499.7
80b = 880
Divide both sides by 80
b = 11
<em><u>Substitute b = 11 in eqn 1</u></em>
a = 30 - 11
a = 19
Thus 19 small mowers and 11 large mowers are sold