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

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:

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

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

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

$b=\frac{109-10w}{3}$

$8(\frac{109-10w}{3} )+12w=177$

$\frac{872-80w}{3}+ 12w=177$

$\frac{872-80w+36w}{3}=177$

$872-80w+36w=531$

$-44w=531-872$

$-44w=-341$

$w=\frac{341}{44}$

$w=7.75$

Now let us substitute w=7.75 in equation 1.

$3b+10*7.75=109$

$b=\frac{109-77.5}{3}$

$b=10.5$

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