Alice is planning to buy fruits for a party. She can choose from apples and bananas. The cost of each apple is $2, and the cost of each banana is $1. Alice has a budget of $40 to spend on fruits.
What is the maximum number of fruits (apples and bananas) she can buy within her budget?
Statement (1): If Alice buys 10 apples, she cannot buy more than 10 bananas with her remaining budget.
Statement (2): If Alice buys 15 bananas, she has sufficient budget left to buy 5 apples.