Calculate 50% Discount: Finding University Registration Fee Reduction from $424

The problem involves calculating a simple percentage discount. We start by determining 50% of the original fee.

• Step 1: Calculate the discount amount.
  $50\% \text{ of } 424 = 0.50 \times 424 = 212$
• Step 2: Calculate the registration fee at the open house.
  Since the open house discount is 50%, the registration fee would be:
  $424 - 212 = 212$

Therefore, the registration fees for the university at the open house are \212 \).