Question

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Algebra 2 Teacher Graded Assignment Unit 2 & 3 Test, Part 2 Absolute Value Functions & Systems of Equations
Bonus (6pts):
Mikasa earned money over the summer babysitting and dog walking. She was paid $15 an hour
babysitting and $20 an hour dog walking. If she worked a total of 75 hours over the summer and
earned a total of $1350, how many hours did she work at each job?
a. (2 pts) Set up the system of equations for this scenario. Let "b" represent hours
babysitting and "w" represent hours walking dogs.
b. (2 pts) Solve the system of equations. Show how you got your solution.
En boonolulo nuovo
c. (2 pts) Show your solution works in both the original equations.

Answer 1

The solution to the scenario described in the problem could be solved using a system of mathematical equation as follows :

• w + b = 75 ; 15b + 20w = 1350
• b = 30 ; w = 45

Hours babysitting = b

Hours dogwalking = w

Cost per hour of babysitting = $15

Cost per hour dog walking = $20

Total earning = $1350

Total hours worked = $75

System of equations for the scenario :

w + b = 75 - - - - (1)

15b + 20w = 1350 - - - - (2)

2.)

Solving the system of equations :

From (1)

w = 75 - b - - - (3)

Put w = 75 - b in (2)

15b + 20(75 - b) = 1350

15b + 1500 - 20b = 1350

-5b = 1350 - 1500

-5b = - 150

b = (150/5)

b = 30

From (3)

w = 75 - 30 = 45

w = 45

3.)

Putting the values of a and b into the original equation :

w + b = 75

45 + 30 = 75

15(30) + 20(45) = 1350

450 + 900 = 1350

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