**Week
2 discussuion **

**Q1:**

Formulate but do not solve the problem.

A
theater has a seating capacity of450 and charges$2 for children,$4 for students, and$6 for adults. At a certain
screening with full attendance, there were half as many adults as children and
students combined. The receipts totaled$1900. How many children attended the show?
(Let *x*, *y*, and *z* denote the number of
children, students, and adults, respectively.)

**Q2:**

Formulate but do not solve the problem.

Michael Perez deposited a total of $2000 with two savings institutions. One
pays interest at a rate of5%/year,
whereas the other pays interest at a rate of7%/year. If Michael earned a total of$132 in interest during a single year, how much
did he deposit in each institution? (Let *x* and *y* denote
the amount of money, in dollars, invested at5% and7%, respectively.)