Question

Landon babysits and works part time. He babysat for 3 hours and worked at the water park for 10 hours and made 109$. Next week he babysat for 8 hours and worked at the water park for 12 hours and made 177$ how much does Landon make per hour at each job

Answer 1

$10.5 and $7.75

Explanation:

Let Landon's hourly rate at babysitting job be
`x` and at water park be
`y`

now, for the first week Landon babysat for 3 hours and worked at the water park for 10 hours and made 109$.

⇒
`3x + 10y = 109` ....(1)

Next week Landon babysat for 8 hours and worked at the water park for 12 hours and made 177$.

⇒
`8x + 12y = 177` ....(2)

From equation (2) we get

`y = (177 - 8x)/(12)` ....(3)

Substituting value of
`x` from equation (3) to equation (1) we get

`x = 10.5`

Using value of x in equation (1) we get

`y = 7.75`

Hence hourly rate for Landon for babysitting job is $10.5 and for water park job is $7.75