SOLUTION: Hello I'm really stuck on this problem and I'm looking for some help. I'll show you the question and what we are learning so you will have a better understanding of what the answer

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Question 624755: Hello I'm really stuck on this problem and I'm looking for some help. I'll show you the question and what we are learning so you will have a better understanding of what the answer is suppose to look like.
The Little Town Arts Center charges $21 for adults, $17 for senior citizens and $8 for children under 12 for their live performances on Sunday afternoon. This past Sunday, the paid revenue was $13,274 for 886 tickets sold. There were 47 more children that adults. How many children attended?
I am not sure where to start with this question, we recently learned revenue, profit and cost function, also systems of linear equations in three variables. It looks like I am suppose to Solve a linear system with 3 variables but I am not sure. Thank you for the help!
Found 2 solutions by ewatrrr, nerdybill:
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 

Hi,

$21 for adults, $17 for senior citizens and $8 for children

revenue was $13,274 for  tickets sold

There were 47 more children than  adults

Question states***

 adults  children seniors

  $21x  + $8(x+47) +$ 17(886 - (2x+47) = 13,274    

solve for x and then list the number of children (x+47) 

Answer by nerdybill(7384)   (Show Source): You can put this solution on YOUR website!
 The Little Town Arts Center charges $21 for adults, $17 for senior citizens and $8 for children under 12 for their live performances on Sunday afternoon. This past Sunday, the paid revenue was $13,274 for 886 tickets sold. There were 47 more children that adults. How many children attended? 

.

Let x = number of adult tickets

then "There were 47 more children that adults."

x+47 = number of children's tickets

and from: "886 tickets sold"

886-(x + x+47) = 886-(2x+47) = 839-2x = number of senior tickets

.

Our equation comes from: "the paid revenue was $13,274"

21x + 17(839-2x) + 8(x+47) = 13274

21x + 14263-34x + 8x+376 = 13274

-5x + 14639 = 13274

-5x = -1365

x = 273 (number of adult tickets)

.

number of children's tickets:

x+47 = 273+47 = 320

.

number of senior tickets:

839-2x = 839-2(273) = 839-546 = 293

 

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