Lizzy: John has to hire a lawyer. He pays $1000 upfront. He then gets charged $100 per hour. The lawyer has to work 50 hours in court time. It takes 2 times that long in prep time. His brother pays half the fee. How much did John pay?.
Me: Hmmm, let me think. I think this is the detailed solution:
The lawyer worked 50 * 2 = 100 hours out of court. So he worked 100 + 50 = 150 hours total. That means the hourly time cost 150 * 100 = $15000. Adding the upfront cost it was 15000 + 1000 = $16000. His brother paid half so he paid 16000 / 2 = $8000. Final answer: 8000.