: Ted worked a total of 50 hours over the last 3 weeks. He worked 5 hours more during the second week than the first week. The third week, he worked 2 hours less than the second week

Answer :

Answer:

Step-by-step explanation:

Let x represent the number of hours that he worked in the second week.

He worked 5 hours more during the second week than the first week. This means that the number of hours that he worked in the first week is x - 5

The third week, he worked 2 hours less than the second week. This means that the number of hours that he worked in the third week is x - 2

Ted worked a total of 50 hours over the last 3 weeks. This means that

x - 5 + x + x - 2 = 50

3x - 7 = 50

3x = 50 + 7 = 57

x = 57/3 = 19

The number of hours that he worked in the first week is

19 - 5 = 14 hours

The number of hours that he worked in the third week is

19 - 2 = 17 hours

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