Answer:
Walking dogs = 3 hours, Landscaping = 5 hours.
Step-by-step explanation:
Given:
Kaylee is working to summer job making $6 per hour walking dogs and $13 per hour landscaping.
Last week kaylee worked a total of eight hours and earned a total of $83.
Question asked:
Determine the number of hours Kaylee worked walking dogs last week and the number of hours she worked landscaping last week.
Solution:
Let last week number of hour worked walking dogs by Kaylee = [tex]x[/tex]
Then last week number of hour worked landscaping by Kaylee = [tex]8-x[/tex]
Total amount earned by her last week = $83
Earned by walking dogs + Earned by landscaping = $83
[tex]6\times x+13(8-x)=83\\ \\ 6x+104-13x=83\\ \\ -7x+104=83\\ \\[/tex]
Subtracting both sides by 104
[tex]-7x+104-104=83-104\\ \\ -7x=-21[/tex]
Minus canceled by minus
[tex]7x=21[/tex]
Dividing both sides by 7
[tex]x=3[/tex]
Number of hour worked walking dogs by Kaylee = [tex]x[/tex] = 3 hours.
Number of hour worked landscaping by Kaylee = [tex]8-x[/tex] = 8 - 3 = 5 hours.
Therefore, the number of hours kaylee worked walking dogs last week was 3 hours and landscaping was 5 hours.
