To make lemonade, kate uses 1 cup of lemon juice and 2 cups sugar. if she makes a larger amount of lemonade with 10 cups of sugar, how many cups of lemon juice does she need?

Is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis.