Solve the equation by first using a sum-to-product formula. (enter your answers as a comma-separated list. let k be any integer.
1 answer:
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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
And the number of large mower be
So, total number of mowers are:
Now, the total sales of mowers are:
Substituting the value of from equation (1) we get:
<em>Subtracting both sides by 7499.7 we get:</em>
<em>Dividing both sides by 80 we get:</em>
The number of large mower = 11.
Now, to get the number of small mowers we substitute the value of in equation ( 1 ):
The number of small mower = 19.
Therefore, the number of small mowers are 19 and the large mowers are 11.