A garden supply store sells two types of lawn mowers. The cashiers kept a tally chart for the total number of mowers sold. They tallied 30 mowers sold. Total sales of mowers for the year were $8379.70. The small mowers cost $249.99 and the large mowers cost $329.99. Find the number of each type of mower sold.






A.
The store did not sell any small mowers. They sold 25 large mowers.




B.
The store sold 8 small mowers and 22 large mowers.




C.
The store sold 11 small mowers and 19 large mowers.




D.
The store sold 8 more small mowers than large mowers.

please help me with this

tallied 30 mowers sold. Total sales of mowers for the year were $8379.70. The small mowers cost $249.99 and the large mowers cost $329.99

249.99s + 329.99(30-s) = 8379.70
s = 19

so, it looks like (D)

C looks tempting, but the values are reversed.

To solve this problem, we can use a system of equations. Let's let x represent the number of small mowers sold and y represent the number of large mowers sold.

From the information given, we can set up two equations:

Equation 1: x + y = 30 (since the total number of mowers sold is 30)
Equation 2: 249.99x + 329.99y = 8379.70 (since the total sales of mowers for the year is $8379.70)

We can solve this system of equations using substitution or elimination method to find the values of x and y.

Let's first solve for x using substitution method.

From Equation 1, we can solve for x:
x = 30 - y

Now substitute the value of x into Equation 2:
249.99(30 - y) + 329.99y = 8379.70

Expand and simplify:
7499.70 - 249.99y + 329.99y = 8379.70

Combine like terms:
80y = 880

Divide both sides by 80:
y = 11

Now substitute the value of y back into Equation 1 to solve for x:
x + 11 = 30
x = 30 - 11
x = 19

Therefore, the number of small mowers sold is 19 and the number of large mowers sold is 11.

So the correct answer is C. The store sold 11 small mowers and 19 large mowers.