# You are selling tickets to a football game. Student tickets cost $4 general admission tickets cost$7. You sell 241 tickets and collect $1315. How many of each type of ticket did you sell? ##### 1 Answer Jun 8, 2018 117 General Admission Tickets 124 Student Tickets #### Explanation: Let student tickets be $s$and general admission be $g$We sold 241 tickets so: $s + g = 241$we got$1315 selling $s$ tickets for $4 and $g$tickets for$7 so:

$4 s + 7 g = 1315$

Now we have two equations with two unknowns, we can solve using substitution:

$s + g = 241$

$s = 241 - g$

Then put that value in the other equation:

$4 s + 7 g = 1315$

$4 \left(241 - g\right) + 7 g = 1315$

$964 - 4 g + 7 g = 1315$

$3 g = 351$

$g = 117$

So we sold 117 general admission, to solve for students use either of the original equations:

$s + g = 241$

$s + \left(117\right) = 241$

$s = 241 - 117$

$s = 124$