Final answer:
To determine the number of students and adults at the concert, we set up a system of equations and solved it using the elimination method, finding that there were 75 students and 50 adults attending the concert.
Step-by-step explanation:
The student is tasked with solving a linear system to find out how many students and how many adults attended the concert. We can set up two equations based on the given information: x + y = 125 (where x is the number of students and y is the number of adults) and 3x + 5y = 475 (which represents the total ticket sales revenue).
To solve this system, we can use either the substitution or elimination method. Using the elimination method, we can multiply the first equation by 3, which gives us 3x + 3y = 375, and then subtract it from the second equation to eliminate x, resulting in 2y = 100, which means y = 50. Since y represents the number of adults, there were 50 adults at the concert. Now we can substitute this value for y into the first equation: x + 50 = 125, which gives x = 75. Therefore, there were 75 students at the concert.