Wapiti or Bears

You are trying to get evidence that there are more bears than wapiti in the Jasper National Forest. Your research assistant, the renowned scientist Monkton Tuesdale, insists there are more wapiti. But you think there are more bears, not because you have any scientific reason, but because you like them more. Monkton calls you a fool.

To prove you're right, you set up a fenced area in the forest with a pressure pad at the gate that can measure if a bear or a wapiti enters the area. In the center of the area, you place a large pile of apples.

After leaving the site for 24 hours, you return to find that 63 apples are gone. You know from previous research that bears eat three apples per visit while wapitis only eat one, so you write down in your notebook:  3·b + 1·w = 63. You check the pressure plate computer and see that 29 animals have entered the area so you write down: b + w = 29.

How many bears and how many wapitis entered the fenced area?  And who is the fool, you or Monkton?