Problema Solution

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?

Answer provided by our tutors

let


x = the hours Tessa babysits for the first family

y = the hours Tessa babysits for the second family


Tessa babysits 5 hours less for the first family than she does for the second family


x = y - 5


On average, she babysits a total of 33 hours per week


x + y = 33


by solving the system of equations


x = y - 5

x + y = 33


we find


x = 14 hours


y = 19 hours


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Tessa babysits 14 hours for the first family and 19 hours for the second family.