# 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? ##### 1 Answer May 20, 2018 950 students #### Explanation: s = students a = adults s *$2.00 + a * $3.50 =$3825.00

$2 s + 3.5 a = 3825$

$s + a = 1500$

$s = 1500 - a$

substitute into the other equation:

$2 \left(1500 - a\right) + 3.5 a = 3825$

$3000 - 2 a + 3.5 a = 3825$

$- 2 a + 3.5 a = 825$

$1.5 a = 825$

$a = 550$

$s + a = 1500$

$s + 550 = 1500$

$s = 950$