Question
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. Find the coordinate pair solution with no spaces in the answer.
Answers
GPT 3.5
Let's say the number of smaller mowers sold is x and the number of larger mowers sold is y.
We can set up a system of equations to represent the given information:
x + y = 30 (equation 1, representing the total number of mowers sold)
249.99x + 329.99y = 8379.70 (equation 2, representing the total sales amount)
To solve this system of equations, we can use the method of substitution.
From equation 1, we have y = 30 - x.
Substituting this into equation 2, we get:
249.99x + 329.99(30 - x) = 8379.70
249.99x + 9899.70 - 329.99x = 8379.70
-80x = -1520
x = 19
Substituting this value of x back into equation 1, we get:
19 + y = 30
y = 11
Therefore, 19 small mowers and 11 large mowers were sold.
The coordinate pair solution is (19,11).
We can set up a system of equations to represent the given information:
x + y = 30 (equation 1, representing the total number of mowers sold)
249.99x + 329.99y = 8379.70 (equation 2, representing the total sales amount)
To solve this system of equations, we can use the method of substitution.
From equation 1, we have y = 30 - x.
Substituting this into equation 2, we get:
249.99x + 329.99(30 - x) = 8379.70
249.99x + 9899.70 - 329.99x = 8379.70
-80x = -1520
x = 19
Substituting this value of x back into equation 1, we get:
19 + y = 30
y = 11
Therefore, 19 small mowers and 11 large mowers were sold.
The coordinate pair solution is (19,11).