Toby: 2x-10

Rebecca: (2x-10)-8=2x-18

Total:2x-10+2x-18+x=157

5x-28=157

5x=185

x=<<37=37>>37 hours

Rebecca:2(37)-18=56 hours

# Answer

56
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Thomas, Toby, and Rebecca worked a total of 157 hours in one week.  Thomas worked x hours.  Toby worked 10 hours less than twice what Thomas worked, and Rebecca worked 8 hours less than Toby.  How many hours did Rebecca work?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
56
Thomas, Toby, and Rebecca worked a total of 157 hours in one week.  Thomas worked x hours.  Toby worked 10 hours less than twice what Thomas worked, and Rebecca worked 8 hours less than Toby.  How many hours did Rebecca work?
train