Mr. sam is raising chickens or ducks on his farm. all chickens eat the same amount of feed per week, and all ducks eat the same amount of feed per week. if 4 chickens and 20 ducks eat a total of 34.80 kg feed per week, and 16 chickens and 15 ducks eat a total of 41.70 kg feed per week, how much feed does a chicken and a duck eat respectively per week?

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?