SOLUTION: Tickets for a basketball game cost $6.00 for adults and $3.00 for students. A total of 846 tickets that cost $3846.00 were sold. How many of each were sold?

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Question 254293: Tickets for a basketball game cost $6.00 for adults and $3.00 for students. A total of 846 tickets that cost $3846.00 were sold. How many of each were sold?
Found 2 solutions by palanisamy, richwmiller:
Answer by palanisamy(496) (Show Source):
You can put this solution on YOUR website!
Let the number of tickets for adults = x
And the number of tickets for students = y
Total number of tickets is x+y = 846 ..(1)
Tickets for a basketball game cost $6.00 for adults and $3.00 for students.
Total cost is 6x+3y = 3846
Dividing by 3, we get 2x+y = 1282 ...(2)
(1)-(2)=> -x = -436
x = 436
Substituting in (1), 436+y = 846
y = 846-436
y = 410
Therefore, the number of tickets for adults = 436
And the number of tickets for students = 410

Answer by richwmiller(17219) (Show Source):
You can put this solution on YOUR website!
I will set this up
a+s=846
a=846-s
6a+3s=3846
substitute 846-s for a above
6(846-s)+3s=3846