Sarah has a budget of $100 to buy different kinds of fruits: apples, bananas, and cherries. Apples cost $2 each, bananas cost $1 each, and cherries cost $5 each. She wants to buy at least 10 fruits in total and spend her entire budget. How many of each fruit can she buy if she must buy at least one of each type? Let's think step by step and output the final answer within \boxed{}.
user