Some History teachers at Richmond High School are purchasing tickets for students and their adult ch

Some History teachers at Richmond High School are purchasing tickets for students and their adult chaperones to go on a field trip to a nearby museum. For her class, Mrs. Yang bought 30 student tickets and 30 adult tickets, which cost a total of $750. Mr. Alexander spent $682, getting 28 student tickets and 27 adult tickets. What is the price for each type of ticket?

Let the number of adult tickets be a
Let the number of student tickets be s
We're given two equations:

1. 30a + 30s = 750
2. 27a + 28s = 682

To solve the simultaneous equations, we can use any of three methods below:

• Substitution Method
• Elimination Method
• Cramer's Rule

No matter what method we use, we get the same answers:

• a = 18
• s = 7