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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

Respuesta :

Answer:

Therefore, ' 19 ' smaller lawn mover and '11' larger lawn mover were sold.

Step-by-step explanation:

Given:

let the smaller lawn mover  be 'x'

let the larger lawn mower be 'y'

According to condition total mover will be

[tex]x+y=30\\x=30-y[/tex]................( 1 )

and total cost will be given as

[tex]249.99x+329.99y=8379.7[/tex]................( 2 )

To Find:

x =? and y =?

Solution:

Substituting equation 1 in equation 2 we get

[tex]249.99(30-y)+329.99y=8379.7\\7499.7-249.99y+329.99y=8379.7\\80y=880\\\\y=\dfrac{880}{80}\\\\y=11[/tex]

Substituting ' y 'in ( 1 ) we get

[tex]x=30-11=19\\x=19[/tex]

Therefore, ' 19 ' smaller lawn mover and '11' larger lawn mover were sold.

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