940 concert tickets were sold for a total of $4030. If students paid $3 and nonstudents paid $5, how many student tickets were sold

Question

Need help solving this equation. Having difficulty with word problems.  Need answer as soon as possible.  Can't seem to figure it out

Answer 1

s = number of student tickets at $3

 

940 - s = number of non-student tickets at $5

 

3s + 5(940 - s) = 4030

 

Solve for s.

 

 

Answer 2

Hi Jerry,

I spent years and years in Lawrence, KS.  Kansas is a beautiful state!!!

 

Need 2 equations.  1 that deals with tickets.  1 that deals with money.

 

S = student ticket

N = NONstudent ticket

 

 

All of the tickets are either S or N, so the ticket equation is

 

S + N = 940   

(# of student tickets sold + # of nonstudent tickets sold = ALL of the tickets sold.)

 

The money works just like it works when you go to a movie:

 

The cost of a student ticket * the number of student tickets sold + The cost of a NON ticket * the number of NON tickets sold must = ALL of the MONEY

 

So, the money equation is

 

3S + 5N = 4030

 

 

So you have a system of equations that needs to be solved.  In the end, the answer is the value of "S", then number of  student tickets sold.

 

S + N = 940

3S + 5N = 4030

 

 

Now solve either by substitution (solve top equation for N = 940 - S, and substitute this for "N" in the bottom equation)

OR

use elimination (multiply whole top equation by (-5), then add vertically to eliminate the variable "N" and solve for "S")

 

 

(I got 335 Student Tickets sold)