SOLUTION: A garden supply store sells two types of lawn mowers. The smaller mower costs $249.99 and the larger mower costs $329.99. If 30 total mowers were sold and the total sales for a giv

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Question 1106878: A garden supply store sells two types of lawn mowers. The smaller mower costs $249.99 and the larger mower costs $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.
Found 2 solutions by josgarithmetic, stanbon:
Answer by josgarithmetic(39628) (Show Source):
You can put this solution on YOUR website!
Same as so many examples of this type

x, how many of the smaller
y, how many of the larger
Account for the total mowers;
Account for the total sales cost.
.

Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
A garden supply store sells two types of lawn mowers. The smaller mower costs $249.99 and the larger mower costs $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.
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Quantity Eq:: S + L = 30 mowers
Value EQ:: 249.99S + 329.99L = 8379.70
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Modify for elimination::
249.99S + 249.99L = 249.99*30
249.99S + 329.99L = 8379.70
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Subtract and solve for "L":
80L = 880
L = 11 (# of large sold)
S = 30-L = 19 (# of small sold)
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Cheers,
Stan H.
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