SOLUTION: Bill and hiw wife, christine, and their son max, workied at a beverage stand at a three day bluegrass festival. Tegether the three of them worked a total of 62 hours. Christine wor

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Question 163685: Bill and hiw wife, christine, and their son max, workied at a beverage stand at a three day bluegrass festival. Tegether the three of them worked a total of 62 hours. Christine worked 5 hours more than max and bill worked 3 hours more than twic as many hours as christine. How many hours did max work?
Found 2 solutions by midwood_trail, anyonegotadollar:
Answer by midwood_trail(310) (Show Source):
You can put this solution on YOUR website!
I think you made an error here.
The question states that 3 people worked but what about Bill's wife?
Bill + his wife + Christine + Max = 4 people
I will assume that you did not mistype anything.
Let M = the hours that Max worked.
==================================
Bill = 2(M + 5) + 3 hours
Christine = M + 5 hours
Max = M hours
All three worked 62 hours.
2(M + 5) + 3 + M + 5 + M = 62 hours
2M + 10 + 3 + 2M + 5 = 62 hours
4M + 18 = 62 hours
4M = 62 - 18 hours
4M = 44 hours
M = 44/4 hours
M = 11 hours
So, Max worked 11 hours assuming that Bill's wife did not work.

Answer by anyonegotadollar(1) (Show Source):
You can put this solution on YOUR website!
The other answer to this is absolutely correct, it's just that I had to respond because the person who answered it somehow managed to not understand English sentence structure and assumed "his wife, Christine" implied 2 people, when it in fact gives his wife the name Christine. But I'll put the process of solving here anyway.
If Max's hours worked = n, then
Christine's hours worked = n+5 and Bill's hours worked = 3+2(n+5)
so

so
so