SOLUTION: Adult tickets for a play cost $16 and child tickets cost $9. If there were 24 people at a performance and the theater collected $258 from ticket sales, how many children attended

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Question 37441: Adult tickets for a play cost $16 and child tickets cost $9. If there were 24 people at a performance and the theater collected $258 from ticket sales, how many children attended the play?
Found 2 solutions by Paul, Cintchr:
Answer by Paul(988) About Me  (Show Source):
You can put this solution on YOUR website!
Let x be the cost of adult tickets
Let y be the cost of children tickets
x+y=24
y=24-x (subsitution)
16x+9y=258
Subsitute for y:
16x+9(24-x)=258
16x-9x=258-216
7x=42
x=6
y=24-6
y=18
Hence, about 6 adult tickets were bought and about 18 children tickets were bought.
PAul.

Answer by Cintchr(481) About Me  (Show Source):
You can put this solution on YOUR website!
Adult(A) = 16
Child (C) = 9
Total tickets sold = 24
Total collected = $258
+A+%2B+C+=+24+
solve for A
+A+=+24+-+C+
Substitute this into the next equation
+16A+%2B+9C+=+%24258+
+16%2824-C%29+%2B+9C+=+%24258+
Distribute
+384+-+16C+%2B+9C+=+258+
Combine like terms
+384+-+7C+=+258+
subtract 384 from both sides
+-7C+=+-126+
Divide by -7
+C+=+18+
This is what you were solving for in the first place