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The attendance at a ball game was 400 people Student tickets are 2 and Adult tickets are 3 If 1050 was collected in ticket sales how many of each type of ticket were sold?
Wiki User
∙ 16y ago
s- student, price of ticket is $2
a- adult, price for ticket i s$ 3
2*s money collected from students
3*s money collected from adults
if a+s=400
and 3*a+2*s=1050
we have system of linear equations
so a=400-s
substitute in second equation a with 400-s
then 3*(400-s) +2*s=1050
1200-3*s +2s=1050
1200 - s = 1050
-1200 -1200
-s = - 150
s=150
if s=150 then a=400-s so a=400-150, thus a=250
At the game sold 250 adult tickets and 150 student tickets
Wiki User
∙ 16y ago
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The attendance at a ball game was 400 people Student tickets cost 2 and adults tickets cost 3 If 1050 was collected in ticket sales how many of each type of ticket were sold?
S = student A = adult 2S +3A = 1050 also S + A = 400 2S + 2A = 800 2S + 3A + 1050 subtract equations -A = - 250 A = 250 S = 150
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