Question

Kaylee is working till summer jobs making six dollars per hour walking dogs and $13 per hour landscaping. Last week kaylee worked a total of eight hours and earned a total of $83. Determine the number of hours kaily worked walking dogs last week in the number of hours she worked landscaping last week

Answer 1

Answer: the number of hours that Kaylee worked walking dogs last week is 3 hours.

the number of hours that Kaylee worked landscaping last week is 5 hours.

Explanation:

Let x represent the number of hours that Kaylee worked walking dogs last week.

Let y represent the number of hours that Kaylee worked landscaping last week.

Kaylee is working two summer jobs making six dollars per hour walking dogs and $13 per hour landscaping.

Last week, she earned a total of $83. It means that

6x + 13y = 83- - - - - - - - - - - -1

Last week kaylee worked a total of eight hours. It means that

x + y = 8

Substituting x = 8 - y into equation 1, it becomes

6(8 - y) + 13y = 83

48 - 6y + 13y = 83

- 6y + 13y = 83 - 48

7y = 35

y = 35/7

y = 5

x = 8 - y = 8 - 5

x = 3