Q:

Landon babysits and works part time at tge water park over the summer. onw 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 London make per hour at each job ? 1 define your variables ,- what are you solving for 2 set up equations - using the information given 3 solve the system using your method of choice

Accepted Solution

A:
b = hourly rate for babysitting and w = hourly rate for working at water park

3b + 10w = 109...multiply by -8
8b + 12w = 177...multiply by 3
----------------------
-24b - 80w = - 872 (result of multiplying by -8)
24b + 36w = 531 (result of multiplying by 3)
---------------------add
- 44w = - 341
w = -341/-44
w = 7.75 <=== hourly rate for working at water park

3b + 10w = 109
3b + 10(7.75) = 109
3b + 77.50 = 109
3b = 109 - 77.50
3b = 31.50
b = 31.50/3
b = 10.50 <== hourly rate for babysitting