Susan made 168 cupcakes and gave some to her 21 students. She then had 1/2 of her cupcakes left. On average, how many
cupcakes did she give to each of the 21 students?

When you answer this can you explain

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?

A50% increase followed by 33 1/2% decrease