Review Day 2. Linear Systems
1. Modrl the following situations: Do nd solve fPenember to give tet statemer's)
a) The tcket 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 $\$ 2750$.

Step 1 ：Let $s$ be the number of student tickets and $a$ be the number of adult tickets. Then we have the following equations:

Step 2 ：$7s + 10a = 2750$

Step 3 ：$s + a = 500$

Step 4 ：Rearrange the second equation to get $a = 500 - s$

Step 5 ：Substitute this expression for $a$ into the first equation: $7s + 10(500 - s) = 2750$

Step 6 ：Simplify the equation: $7s + 5000 - 10s = 2750$

Step 7 ：Rearrange the equation: $-3s = -2250$

Step 8 ：Divide by -3: $s = 750$

Step 9 ：Substitute the value of $s$ back into the expression for $a$: $a = 500 - 750 = -250$

Step 10 ：Since the number of adult tickets cannot be negative, there is an error in the problem statement or the given information is inconsistent.