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?

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Answer 1 · 2018-05-20T05:04:09

950 students

s = students
a = adults

#s * $2.00 + a * $3.50 = $3825.00#

#2s + 3.5a = 3825#

#s + a = 1500#

#s = 1500 -a#

substitute into the other equation:

#2(1500 -a) + 3.5a = 3825#

#3000 -2a + 3.5a = 3825#

#-2a + 3.5a = 825#

#1.5a = 825#

#a=550#

#s + a = 1500#

#s + 550 = 1500#

#s = 950#