Problema Solution

Andrea works twice as many hours a week as Gwen works. Andrea works 12 more hours a week than gwen. How many hours a week does each girl work?

Answer provided by our tutors

let


a = the number of hours Andrea works


g = the number of hours Gwen works


Andrea works twice as many hours a week as Gwen works:


a = 2g


Andrea works 12 more hours a week than Gwen:


a = 12 + g


by solving the system of equations:


a = 2g


a = 12 + g


we find:


a = 24 hours


g = 12 hours


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Andrea works 24 hours per week.


Gwen works 12 hours per week.