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.

Natalie worked [___] hours babysitting and [___] hours landscaping.

Answer 1

We can start solving the problem by using the information provided and setting up a system of equations. Let x be the number of hours Natalie worked babysitting and y be the number of hours she worked landscaping. Then we know:

x = 3y (since she performed three times as many hours babysitting as landscaping) 11x + 10y = 86 (since she earned $86 total)

We can substitute the first equation into the second equation to get: 11(3y) + 10y = 86 33y + 10y = 86 43y = 86 y = 2

So Natalie worked 2 hours landscaping last week. We can use the first equation to find the number of hours she worked babysitting: x = 3y x = 3(2) x = 6

Therefore, Natalie worked 6 hours babysitting last week. So the answer is Natalie worked 6 hours babysitting and 2 hours landscaping.

Explanation: