Part 1: Tessa has two babysitting jobs this summer. She has worked out a schedule with each family to fit their individual needs. Each week, Tessa babysits 5 hours less for the first family than she does for the second family. On average, she babysits a total of 33 hours per week. How many hours does she babysit for each family?

Part 2: If Tessa is paid $5 per hour by family #1 and $7.50 per hour by family #2, how much money will she earn per week? Tessa's summer goal is to earn $2,500. If the summer is 9 weeks long, will she have enough time to reach her goal? Use the three basic steps from the lesson to set up an equation and solve for the unknown values. Turn in all three of the steps that you took to set up the equation and find a solution. Be sure to include your answers to the questions in both Parts 1 and 2, as well as any calculations that were necessary to answer the questions. Complete your work in the space provided or upload a file that can display math symbols if your work requires it.

Respuesta :

1.  If the average per week is a total of 33 hours per week, then if she did the same number of hours per family then that would be 33/2 = 16.5 hours for each family. However since she does 5 hours less for the first family then that means deduct 2.5 hours for family A and add 2.5 hours to family B:
Family A: 16.5 - 2.5 = 14 hours pw
Family B: 16.5 + 2.5 = 19 hours pw
Family A is 5 hours less than Family B, but the total average hours = 14+19 = 33 hours.

2.$5 x 14 hours = $70 per week
$7.50 x 19 hours = $142.50 per week

Total earned pw = $70 + $142.50 = $212.50

$212.50 x 9 weeks = $1912.50 earned in total, so no, she will not have enough time to reach her goal, even if she doesn't spend anything.