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


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