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ch4aika [34]
3 years ago
14

A garden supply store sells two types of lawn mowers. Total ales of mowers for the year were $8379.70. The total number of mower

s 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.
Mathematics
1 answer:
Anestetic [448]3 years ago
6 0

Answer:

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 x.

And the number of large mower be  y.

So, total number of mowers are:

x+y=30

x=30-y\ \ \ ....(1)

Now, the total sales of mowers are:

249.99(x)+329.99(y)=8379.70

Substituting the value of x from equation (1) we get:

249.99(30-y)+329.99y=8379.70

7499.7-249.99y+329.99y=8379.70

7499.7+80y=8379.70

<em>Subtracting both sides by 7499.7 we get:</em>

80y=880

<em>Dividing both sides by 80 we get:</em>

y=11.

The number of large mower = 11.

Now, to get the number of small mowers we substitute the value of y  in equation ( 1 ):

x=30-y\\x=30-11\\x=19.

The number of small mower = 19.

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

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