A farmer had d animals, all of which the farmer bought for the same price. The farmer decided to sell the animals. 22 of the animals were sold at a profit of 10% each while the rest were sold at a loss of 20% each. Overall, the farmer made neither a profit nor a loss. Which of the following is equal to d?  Select.
A) 21 B) 24 C) 27 D) 30 E) 33
Let P be the price the farmer paid for each animal.   The total profit on the 22 animals is 22*0.1*P.   The total loss on the other (d-22) animals is (d-22)*0.2*P.   (d-22)*0.2*P = 22*0.1*P   0.2*d = 2.2 + 4.4   d = 33   The answer is 33.
<result>E</result>
A farmer had d animals, all of which the farmer bought for the same price. The farmer decided to sell the animals. 22 of the animals were sold at a profit of 10% each while the rest were sold at a loss of 20% each. Overall, the farmer made neither a profit nor a loss. Which of the following is equal to d?