A woman with a basket of eggs finds that if she removes the eggs from the basket 3 or 5 at a​ time, there is always 1 egg left.​ However, if she removes the eggs 8 at a​ time, there are no eggs left. If the basket holds up to 100​ eggs, how many eggs does she​ have?

Assume that the pond contains 100 fish: 82 blue, 17 orange, and 1 red. A contestant pays $0.65 to randomly catch one fish and receives $0.25 if the fish is blue, $0.90 if the fish is orange, and $14.00 if the fish is red. How much (on average) does the carnival gain on each play? (If the carnival looses money, enter a negative dollar amount)