Question

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 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.

Answer 1

Let L = the numbers of hours lifeguarding

Let D = the number of hours walking dogs

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.

10L+6D=114

L=D+5