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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 :

Answer:

$10.5 and $7.75

Step-by-step explanation:

Let Landon's hourly rate at babysitting job be [tex]x[/tex] and at water park be [tex]y[/tex]

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

⇒ [tex]3x + 10y = 109[/tex] ....(1)

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

⇒ [tex]8x + 12y = 177[/tex] ....(2)

From equation (2) we get

[tex]y = \frac{177 - 8x}{12}[/tex] ....(3)

Substituting value of  [tex]x[/tex] from equation (3) to equation (1) we get

[tex]x = 10.5[/tex]

Using value of x in equation (1) we get

[tex]y = 7.75[/tex]

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

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