Question

7.5x+20y=900 models how many hours worked(x) and how many lawns mowed (y) Jon has to work to save $900. give 3 combinations of hours worked and lawns mowed that result in $900

Answer 1

1. (8,42)

2. (24,36)

3. (40,30)

Explanation:

In order to solve this problem we will assume some values of x which will give us integer values of y.

Substituting x=8 in our equation we will get,

`7.5*8+20y=900`

`60+20y=900`

`20y=900-60`

`y=(840)/(20) =42`

Substituting x=24 in our equation we get,

`7.5*24+20y=900`

`180+20y=900`

`20y=900-180`

`y=(720)/(20)=36`

Substituting x = 40 in the equation we get,

`7.5*40+20y=900`

`300+20y=900`

`20y=900-300`

`y=(600)/(20) =30`

Therefore, our three combinations will be (8,42), (24,36) and (40,30).