Nancy eats 2,000 calories a day. she burns 500 durning her work outs and 1,000 participating in her normal daily activities. how many more calories does she have to burn to loose weight

Nancy eats 2000 calories in a day. 
Now, she worked out and burned around 500 calories.
Her normal activities helped her burned 1000 calories.
500 calories + 1000 Calories = 1500 calories.
She still need to burn 500 calories to maintain her body weight. Now if she wants to lose weight she need to burn addition 100 and more calories.

Trade schools would be the best option

You should try to limit foods that are high in carbs and trans fats