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

Answer:

$10.5 and $7.75

Step-by-step 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

$y = \frac{177 - 8x}{12}$ ....(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