Question

The tickets for a high school basketball game are $2.50 for students and $4.00 for adults. At Tuesday night's game, 95 tickets were sold for a total of $290.00. How many student tickets were sold?

Answer 1

2.50*x+(95-x)*4=290

Answer 2

How to solve algebraically:
s = number of student tickets
a = number of adult tickets

s + a = 95
2.5s + 4a = 290

Solve the system.

Answer 3

here the value of students ticket is assumed as x

Answer 4

a = 95 -s

2.5s + 4(95 -s) = 290

2.5s + 380 - 4s = 290

-1.5s = -90
s = 60

60 tickets.

It doesn't matter which variables you use, I just used s and a to make it easier to remember what each variable means.

Answer 5

so the last part to get 60 you divided?

Answer 6

yep

Answer 7

If the value of x is assumed,
then the value of the students tickets are to be assumed as x.....
Therefore, let a + s=95.....
and 2.5s + 4a= 290.
Solving using the systems of equations,
s=95-a...
a=95-s,
then, using substitution,
2.5s +4(95-s)=290,
becomes,
s=60...
thus,
there are 60 tickets.

Answer 8

Yeah, @cyclevleoce12345 explains it better but that's the gist of it. You create a system from the given information and then solve it.

Answer 9

thankyou guys

Answer 10

np, happy to help (: