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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?

Respuesta :

Answer:

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

Step-by-step 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:

[tex]3b+10w=109...(1)[/tex]

[tex]8b+12w=177...(2)[/tex]

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

[tex]b=\frac{109-10w}{3}[/tex]

[tex]8(\frac{109-10w}{3} )+12w=177[/tex]

[tex]\frac{872-80w}{3}+ 12w=177[/tex]

[tex]\frac{872-80w+36w}{3}=177[/tex]

[tex]872-80w+36w=531[/tex]

[tex]-44w=531-872[/tex]

[tex]-44w=-341[/tex]

[tex]w=\frac{341}{44}[/tex]

[tex]w=7.75[/tex]

Now let us substitute w=7.75 in equation 1.

[tex]3b+10*7.75=109[/tex]

[tex]b=\frac{109-77.5}{3}[/tex]

[tex]b=10.5[/tex]

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

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