conversations.from: human
conversations.value: Can you guide me through solving this problem: On his farm, Mr. Mathews has goats and sheep in the ratio of 5:7. He decides to sell half of the goats at $40 each and 2/3 of the sheep at $30 each. How much money does he make from the sale of the animals if the total number of sheep and goats on the farm is 360?
conversations.from: assistant
conversations.value: The total ratio of goats and sheep on the farm is 5+7 = 12
  The fraction that represents goats from the total ratio is 5/12, and since there are 360 goats and sheep on the farm, the number of goats is 5/12*360= 150
  The number of sheep on Mr. Mathews's farm is 360-150 = 210.
  Mr. Mathews sold 1/2*150 = 75 goats.
  If each goat went for $40, the total amount of money Mr. Mathews made from the sale of his goats is 75*$40 = $3000
  He also sold 2/3*210 = 140 of the total sheep on his farm.
  The income from the sale of the sheep is 140*$30=$4200
  From the sale of goats and sheep, Mr. Mathews made $4200+$3000 = $8600