What strategy would be the best to solve this problem? A theater charges $8 for an adult ticket, and $6 for a children's ticket. On a certain day, a total of 255 tickets were sold for a total cost of $1,850. How many more children's tickets were sold than adult tickets?
A. guess, check and revise
B. use a formula
C. work backwards
D. look for a pattern

1- 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. 2- 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. 3- 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 part b?