Lizzy: 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?.
Me: Hmmm, let me think. I think this is the detailed solution:
Toby: 2x - 10. Rebecca: (2x - 10) - 8 = 2x - 18. Total:2x - 10 + 2x - 18 + x = 157. 5x - 28 = 157. 5x = 185. x = 37 hours. Rebecca:2(37) - 18 = 56 hours. Final answer: 56.