Suppose that a lemonade stand's lemonade recipe consists of 2 cups of sugar, 3 cups of lemon juice, and 5 cups of water per batch.

a) How much sugar and water should be added if they only use 1 cup of lemon juice?

b) If there are 5 cups of lemonade, how much sugar, lemon juice, and water must there must be?

c) Will a mixture of 1 fl oz of sugar, 2 fl oz of lemon juice, and 4 fl oz of water produce identical lemonade? Why or why not?