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

Answer 1

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

Explanation:

Given:

let the smaller lawn mover be 'x'

let the larger lawn mower be 'y'

According to condition total mover will be

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

and total cost will be given as

`249.99x+329.99y=8379.7`................( 2 )

To Find:

x =? and y =?

Solution:

Substituting equation 1 in equation 2 we get

`249.99(30-y)+329.99y=8379.7\\7499.7-249.99y+329.99y=8379.7\\80y=880\\\\y=(880)/(80)\\\\y=11`

Substituting ' y 'in ( 1 ) we get

`x=30-11=19\\x=19`

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