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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