It is worked out that 4 ladles full of soup each will feed 160 people. the customers have complained in the past that the portions are too small. the cook decides to give 5 ladles full of soup to each person. how many people can now be fed soup?

1- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis.2- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in the first question?