Problem
Review Day 2: Linear Systems 1. Model the following situations: Do not solve (Remember to give "let" statements) a) The ticket prices for a school concert are $\$ 7$ for students and $\$ 10$ for adults. The school gym can accommodate 500 people. When the gym was full the total sales were $\$ 2750$. b). Best Buy sells CD's and Tapes for different prices. The price of $5 \mathrm{CD}$ 's and two tapes is $\$ 67$. The price of one $C D$ and 5 tapes is $\$ 48$ c) Angela is seeking a venue for her school's athletic council banquet. Primo Banquet Hall charges $\$ 2000$ plus $\$ 50$ per person. The Candes Banquet Hall charges $\$ 1500$ plus $\$ 75$ per person.
Solution
Step 1 ：\(\text{Let } x \text{ be the number of student tickets and } y \text{ be the number of adult tickets.}\)
Step 2 ：\(\begin{cases} x + y = 500 \\ 7x + 10y = 2750 \end{cases}\)
Step 3 ：\(\text{Let } x \text{ be the number of CDs and } y \text{ be the number of tapes.}\)
Step 4 ：\(\begin{cases} 5x + 2y = 67 \\ x + 5y = 48 \end{cases}\)
Step 5 ：\(\text{Let } x \text{ be the number of people attending the banquet.}\)
Step 6 ：\(\text{Primo Banquet Hall: } 2000 + 50x\)
Step 7 ：\(\text{Candes Banquet Hall: } 1500 + 75x\)
