At a spring concert tickets for adults cost 4 and tickets for students cost 2.50 How many of each kind of tickets were purchased if 125 tickets were bought for 413.00?

67 adult ticket

58 student tickets

total cost $413

total tickets 125

just set up a set of simultaneous equations

such as if number of adult tickets is x

and number of student tickets is y

x+y=125 since 125 tickets are being bought

then multiply amount of tickets by ticket cost

4x+2.5y=413

both equations are true so the easiest way to solve it is by solving the first equation first by saying x=125-y

plug this new value of x into the second equation by replacing x

4(125-y) +2.5y=413

solve this equation for y

then plug the value of y back into x=125-y to find the value for x