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