Camila is working two summer jobs, making $10 per hour lifeguarding and $6 per hour walking dogs. Last week Camila worked 5 more hours lifeguarding than hours walking dogs hours and earned a total of $114. Write a system of equations that could be used to determine the number of hours Camila worked lifeguarding last week and the number of hours she worked walking dogs last week. Define the variables that you use to write the system.

Camila makes $10 per hour lifeguarding, so in L hours she will make 10L dollars. Camila makes $6 per hour walking dogs, so in D hours she will make 6D dollars. The total amount earned 10L+6D equals $114.

Since Camila worked 5 more hours lifeguarding than hours walking dogs, she worked more hours lifeguarding, so if we add 5 to the number of hours walking dogs, we will get the number of hours lifeguarding, meaning L equals D+5.

System of Equations:

10L+6D=114

L=D+5

facundo3141592 facundo3141592 · Answer 2 · 2021-12-09T10:39:59+01:00

We want to write a system of equations that models the given situation, the system is just:

x = y + 5

x*$10 + y*$6 = $114

First, we need to define the variables, I will use:

x = number of hours lifeguarding.
y = number of hours walking dogs.

Now, using the given information we can write equations:

" Last week Camila worked 5 more hours lifeguarding than hours walking dogs..."

x = y + 5.

"...Earned a total of $114"

x*$10 + y*$6 = $114

Then the system is:

x = y + 5

x*$10 + y*$6 = $114

If you want to learn more about systems of equations, you can read:

https://brainly.com/question/12895249