Equations in two variables
at a movie theater, admission tickets cost $10 for adults and $8 for children. on
saturday, anne teak sold 52 child tickets and collected a total of $1276 for all
admissions. how many adult tickets did anne sell?
a.) name a variable for the number of adult tickets sold and name a variable for the
number of child tickets sold.
b.) write an equation in two variables to model the problem that includes these 5
parts: total amount collected, cost of adult ticket, cost of child ticket, number of adult tickets, number of child tickets

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?

Tom is the deli manager at a grocery store. he needs to schedule employee to staff the deli department for no more that 260 person-hours per week. tom has one part-time employee who works 20 person-hours per week. each full-time employee works 40 person-hours per week. write and inequality to determine n, the number of full-time employees tom may schedule, so that his employees work on more than 260 person-hours per week. graph the solution set to this inequality.

If johnny ate 5 cans of sugar, but in the kitchen they only had 3. what did johnny eat? (he found a secret stash btw.)