SOLUTION: Company A charges $45 for the first half hour of work and $23 for each additional half hour of work. Company B charges $35 for the first half hour of work and $28 for each addition

Question 176035: Company A charges $45 for the first half hour of work and $23 for each additional half hour of work. Company B charges $35 for the first half hour of work and $28 for each additional hour of work. For how many hours of work will the companies charge the same amount?
Answer by Mathtut(3670) (Show Source): You can put this solution on YOUR website!
equation for : remember t = each 1/2 hour of time.
:
company A: 23t+45
:
company B: 28t+35
:
we are looking for company A = company B
:
23t+45=28t+35
:
5t=10
:

:
so that is 2(1/2hrs) of time which equals 1 hour. So for 1 hours work the 2 companies will charge the same
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