prompt: Jill and Bob want to finally buy a house for themselves, so they went with a real estate agent to see some houses before making a decision. The first house was not too far from their work and the price was accessible. The second house was really big and Jill loved it but was twice as expensive as the first one and was way over their budget. They ended up buying the first one, knowing that the price of both houses altogether is $600,000. How much did Jill and Bob end up paying for their new house?
messages.content: Jill and Bob want to finally buy a house for themselves, so they went with a real estate agent to see some houses before making a decision. The first house was not too far from their work and the price was accessible. The second house was really big and Jill loved it but was twice as expensive as the first one and was way over their budget. They ended up buying the first one, knowing that the price of both houses altogether is $600,000. How much did Jill and Bob end up paying for their new house?
messages.role: user
messages.content: Let C be the cost of the first house
  The cost of the second house is 2C
  The cost of the two houses together is C + 2C = $600,000
  3C=$600,000
  C=$600,000 / 3 = $<<600000/3=200000>>200,000
  #### 200,000
messages.role: assistant