Question 57328
If you are the same person I answered earlier, you wanted a system of two equations and two unknowns.  If you aren't and you only want one equation and one unknow, let me know.
There were 1500 people at a high school football game. Student tickets were $2.00 and adult tickets were $3.50. The total receipts for the game were $3825. How many students bought tickets? 
Let a = the number of adult tickets purchased.
Let s = the number of student tickets purchased. Write a system of equations that can be used to determine the number of adult and student tickets purchased.
 Determine the number of adults tickets sold and the number of student tickets sold. 
:
The total number of adults, a, and students, s, is 1500.
a+s=1500
The total amount of money taken in per adult is $3.50*a, the amount of money taken in per student is $2.00s, which totals $3825.
3.50a+2.00s=3825
The system of equations is:
a+s=1500
3.50a+2.00s=3825  
:
Solve the first equation for a and substitute that into the second equation and solve that equation for s:
a+s=1500
a=1500-s
{{{3.50*highlight((1500-s))+2.00s=3825}}}
5250-3.50s+2.00s=3825
5250-1.50s=3825
-1.50s=3825-5250
-1.50s=-1425
-1.50s/-1.50=-1425/-1.50
s=950
Substitute s=950 into the first equation and solve for a.
{{{a+highlight(950)=1500}}}
a=1500-950
a=550
Theref were 550 adults and 950 students.
Happy Calculating!!!