Question

Joe and Lisa each improved The yards by planting grass sod and shrubs they bought their supplies from the same store Joe spend $80 on 5 foot two of grass sod and five shelves Lisa spent $94 and 7 foot two on grass sod and five Chevy what is the cost of 1 foot to a grass side and cost of one shrub

Answer 1

The cost of
`1 ft^2` of grass sod is $7

The cost of one piece of shrub is $9

Explanation:

Let
`G` represent
`1 ft^2` of grass sod and
`S` represents one piece of shrub

Joe spent $
`$80` on
`5 ft^2` of grass sod and
`5` pieces of shrubs (shelves)

`5G + 5S=80`
`eq. 1`

Lisa spent $
`94` on
`7 ft^2` of grass sod and
`5` pieces of shrubs (Chevy)

`7G + 5S=94`
`eq. 2`

from
`eq. 1`

`5G=80 - 5S`

`G=(80-5S)/(5)`
`eq. 3`

Now put the
`eq. 3` into
`eq. 2`

`7G + 5S=94`

`7((80-5S)/(5)) + 5S=94`

`(560-35S)/(5) + 5S=94`

`(560-35S + 5(5S))/(5) =94`

`{560-35S + 25S =94*5`

`560-10S =470`

`560-470 =10S`

`90 =10S`

`S= 90/10 = 9`

The cost of one piece of shrub is $9

Now put the value of
`S` into
`eq. 3` to get value of
`G`

`G=(80-5S)/(5)`

`G=(80-5(9))/(5)`

`G=(80-45)/(5)`

`G=(35)/(5)`

`G=7`

The cost of
`1 ft^2` of grass sod is $7