Step 1 :First, we need to find out how much money is saved per ticket. This is done by subtracting the discounted price from the original price: \(48 - 39 = 9\) dollars.
Step 2 :Next, we calculate the percentage saved per ticket. This is done by dividing the amount saved by the original price and then multiplying by 100 to get the percentage: \(\frac{9}{48} \times 100 = 18.75\%\).
Step 3 :Since the problem asks us to round the answer to the nearest whole percent, we round 18.75 to \(\boxed{19\%}\).