SOLUTION: Please help me solve this, Thanks Adult tickets for a play cost $9 and child tickets cost $8. If there were 23 people at a performance and the theater collected $193 from ticket

Question 72940This question is from textbook Beginning Algebra 1A
: Please help me solve this, Thanks
Adult tickets for a play cost $9 and child tickets cost $8. If there were 23 people at a performance and the theater collected $193 from ticket sales, how many children attended the play? This question is from textbook Beginning Algebra 1A

Answer by funmath(2933) (Show Source): You can put this solution on YOUR website!
Adult tickets for a play cost $9 and child tickets cost $8. If there were 23 people at a performance and the theater collected $193 from ticket sales, how many children attended the play?
Let the number of children be: x
Then the rest of the 23 people in attendance were adults, let that be: 23-x
The amount of money collected from children is 8 per child: 8x
The amount of money collected from adults is 9 per adult: 9(23-x)
The total amount collected is 193: =193
Therefore, the problem to solve is:
8x+9(23-x)=193
8x+207-9x=193
-x+207=193
-x+207-207=193-207
-x=-14
-x/-1=-14/-1
x=14
14 children attended the event.
:
Sanity Check:
If 14 children attended the event, then 23-14=9 adults attended.
8(14)+9(9)=112+81=193 It works out.
Happy Calculating!!!!
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