Question

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.
c. (2 pts) Show your solution works in both the original equations.
Please please pleaseeee someone help!!!!

Answer 1

Answer: A : 15b+20w=75

                   15b*20w=1350

B: b=(3,2) w=(1.5,2.25)

Input 3 for b and 1.5 for w in the FIRST equation

Input 2 for b and 2.25 for w in the SECOND equation.

Step-by-step explanation: 15(3)+20(1.5)=75

                                              15(2)*20(2.25)=1350

This is what I came up with don't know if its the right way to make the equation, but the number work and give the correct answers. :\

Answer 2

Using a system of equations, we get that:

a)

The system is:

$b + w = 75$

$15b + 20w = 1350$

b)

The solution is: $b = 30, w = 45$.

c)

$b + w = 30 + 45 = 75$

$15b + 20w = 15(30) + 20(45) = 1350$

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Item a:

She worked a total of 75 hours over the summer, thus:

$b + w = 75$

She was paid $15 an hour babysitting and $20 an hour dog walking. She earned a total of $1350. Then:

$15b + 20w = 1350$

Item b:

From the first equation:

$b = 75 - w$

Replacing in the second:

$15b + 20w = 1350$

$15(75 - w) + 20w = 1350$

$5w = 225$

$w = \frac{225}{5}$

$w = 45$

Then, for b:

$b = 75 - w = 75 - 45 = 30$

The solution is: $b = 30, w = 45$.

Item c:

Replacing into the equations:

$b + w = 30 + 45 = 75$

$15b + 20w = 15(30) + 20(45) = 1350$

A similar problem is given at https://brainly.com/question/24233433