Question

Landon babysits and works part time at the water park over the summer. One week, he babysat for 3 hours and worked at the water park for 10 hours and made $109. The next week he babysat for 8 hours and worked at the water park for 12 hours and made $177. How much does Landon make per hour at each job?

Answer 1

Landon earns $ 10.5 per hour for babysitting and $7.75 per hour at water park.

Explanation:

Let b be the number of hours Landon babysits and w be number of hours Landon works at water park. Upon substituting our given values we can get a system of equations as:

`3b+10w=109...(1)`

`8b+12w=177...(2)`

We will use substitution property in order to solve this system of equations.

`b=(109-10w)/(3)`

`8((109-10w)/(3) )+12w=177`

`(872-80w)/(3)+ 12w=177`

`(872-80w+36w)/(3)=177`

`872-80w+36w=531`

`-44w=531-872`

`-44w=-341`

`w=(341)/(44)`

`w=7.75`

Now let us substitute w=7.75 in equation 1.

`3b+10*7.75=109`

`b=(109-77.5)/(3)`

`b=10.5`

Therefore, Landon earns $10.5 for per hour babysitting and $7.75 for per hour at water park.