At the track meet concession stand, Dylan spent $8 on two candy bars, a bottle of soda, and a hot dog. His friend Hunter spent $13 on three candy bars, a bottle of soda, and two hot dogs.
Caleb purchased two candy bars, two bottles of soda, and two hot dogs for $14. Calculate the
price of each item.

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?