Question

Natalie is working two summer jobs, making $11 per hour babysitting and $10 per hour landscaping. Last week Natalie earned a total of $86 and worked 3 times as many hours babysitting as she worked hours landscaping. Determine the number of hours Natalie worked babysitting last week and the number of hours she worked landscaping last week.

Answer 1

Natalie worked 6 hours babysitting and 2 hours landscaping

Explanation:

10 x 2 = 20

11 x 6 = 66

6 is 3 times as much as 2

66 + 20 = 86

Answer 2

• 6 hours and 2 hours

----------------------------------

Let the number hours babysitting be b and landscaping be l.

She earns 11b for b hours babysitting and 10l for 10 hours landscaping.

Set up equations according to given details:

• 11b + 10l = 86
• b = 3l

Solve the system by substitution:

• 11(3l) + 10l = 86
• 33l + 10l = 86
• 43l = 86
• l = 2

Find b:

• b = 3*2 = 6

Natalie worked 6 hours babysitting and 2 hours landscaping.