SOLUTION: 13. Adult tickets for a play cost $16 and child tickets cost $12. If there were 33 people at a performance and the theater collected $472 from ticket sales, how many children atte

Question 57830: 13. Adult tickets for a play cost $16 and child tickets cost $12. If there were 33 people at a performance and the theater collected $472 from ticket sales, how many children attended the play?
A) 13 children
B) 14 children
C) 15 children
D) 19 children
Thanks so much for all you do!!!!
Answer by funmath(2933) (Show Source): You can put this solution on YOUR website!
13. Adult tickets for a play cost $16 and child tickets cost $12. If there were 33 people at a performance and the theater collected $472 from ticket sales, how many children attended the play?
A) 13 children
14 children
C) 15 children
D) 19 children
:
Let children=x
Then since the rest of the people who attended were adults then adults=33-x
The money made from children's tickets would be: $12x
The money made from adult tickets is: $16(33-x)
The total money made is: $472
:
The equation to solve is:
12x+16(33-x)=472
12x+528-16x=472
-4x+528=472
-4x+528-528=472-528
-4x=-56
-4x/-4=-56/-4
x=14
:
If you are on systems of equations with two equations and two unknowns, then:
let children be:x
let adults be: y
Then your system is:
x+y=33
12x+16y=472
If you solve the first equation for y and substitute it in the second equation you get what I showed you using one equation and one unknown.
Happy Calculating!!!
RELATED QUESTIONS
Adult tickets for a play cost $20 and child tickets cost $8. If there were 33 people at... (answered by psbhowmick)

Adult tickets for a play cost $20 and child tickets cost $8. If there were 33 people at a (answered by jim_thompson5910)

Adult tickets for a play cost $20 and child tickets cost $8. If there were 33 people at a (answered by checkley71)

Adult tickets for a play cost $17 and child tickets cost $10. If there were 33 people at... (answered by stanbon)

Adult tickets for a play cost $15 and child tickets cost $6. If there were 33 people at... (answered by ptaylor)

Adult tickets for a play cost $13 and child tickets cost $1. If there were 22 people at... (answered by oberobic)

Adult tickets for a play cost $13 and child tickets cost $10. If there were 22 people at (answered by scott8148)

Solve Adult tickets for a play cost $13 and child tickets cost $10. If there were 22... (answered by josmiceli)

Adult tickets for a play cost $13 and child tickets cost $10. If there were 22 people at (answered by elima)