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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

Respuesta :

texaschic101
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

Answer:

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

Step-by-step explanation:

Let the amount made per hour in dollars for babysitting be = x

Let the amount made per hour in dollars at water park be = y

As per the condition, the equations form:

[tex]3x+10y=109[/tex]     .......(1)

[tex]8x+12y=177[/tex]     ......(2)

Multiplying (1) by 8 and (2) by 3, and subtracting (2) from (1), we get

[tex]44y=341[/tex]

=> y = 7.75

And [tex]3x+10(7.75)=109[/tex]

=> [tex]3x+77.5=109[/tex]

=> [tex]3x=109-77.5[/tex]

=> [tex]3x=31.5[/tex]

x = 10.5

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

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