Give the step-by-step reasoning process and then the final answer. Aubrie has four cards with the labels W, X, Y, Z printed on them. W is tagged with the number 200, X is tagged with half the number W is tagged with, Y is tagged with the total of X and W's tags and Z is tagged with the number 400. Calculate the total of all the tagged numbers.
If the card with the letter X has half the number the card with letter W has, it has 1 / 2 * 200 = 100. Together, cards with letters W and X have tags that total 100 + 200 = 300. If the card with the letter Y has the total of the numbers cards with letters, W and X have, then the total for cards with letters W, X, and Y is 300 + 300 = 600. Since the card with the letter Z has a tag of 200, the total of the numbers the tags have is 600 + 400 = 1000.
The final answer: 1000.