Tickets to a science exposition cost $5.75 each for students and $7.00 for adults. How many students and adults went if the ticket charge was $42.75?

Well this is a pretty fun problem that involves variables.

let's set some variables

s = students

a = adults

the total is

42.75

so let's solve for one variable

42.75 = 7.00a + 5.75s

let's just plug in a number for a I'm going to go with two and let's solve for s

42.75 = 7.00 (2) + 5.75s

42.75 = 14.00 + 5.75s

28.75 = 5.75s

28.75/5.75 = s

5=s

so

so the amount of students and adults that can go is 2 adults and 5 students