Adult tickets to a basketball game cost 5 dollars. Student tickets cost 1 dollar. A total of $2,845 was collected on thesale of 1,181 tickets. How many of each type of ticket were sold?
Hey there.
Here we have 2 unknowns and 2 variables so you need two equations.
Let x=number of adult tickes purchased
Let y=number of student tickets purchased
we know that 1181 tickets were sold and $2845 was raised. Given that we get the two equations:
x+y=1181
5x+y=2845
Here we can use elimation by taking the first equation from the second:
4x=1664
x=416 adults
Now you sub this back in to get y:
416+y=1181
y=765 students
Thus you have 416 adult tickets and 765 student tickets
Hope this helped :)