SOLUTION: Adult tickets for a play cost $17 and child tickets cost $2. If there were 32 people at a performance and the theater collected $364 from ticket sales, how many adults and how many

Question 38446: Adult tickets for a play cost $17 and child tickets cost $2. If there were 32 people at a performance and the theater collected $364 from ticket sales, how many adults and how many children attended the play?
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
Let a = # of adult tickets. Their value would then be 17a.
Let c = # of child tickets. Their value would be 2c.
Now set up the two equations.
a + c = 32
17a + 2c = 364
Double the first equation and subtract it from the second...
17a + 2c = 364
2a + 2c = 64
and we get
15a = 300
a = 20 and then of course
c = 12
RELATED QUESTIONS
Adult tickets for a play cost $17 and child tickets cost $2. If there were 32 people at... (answered by checkley75)

Adult tickets for a play cost $17 and child tickets cost $2. If there were 32 people at... (answered by checkley75)

adult tickets for a play cost $17 and child tickets cost $7. if there were 32 people at... (answered by Earlsdon)

Adult tickets for a play cost $17 and child tickets cost $2. If there were 22 people at... (answered by stanbon)

Adult tickets for a play cost $6 and child tickets cost $1. If there were 32 people at a (answered by scott8148)

Adult tickets for a play cost $17 and child tickets cost $8. If there were 24 people at... (answered by stanbon)

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 $18 and child tickets cost $2. If there were 20 people at a (answered by josmiceli)

Adult tickets for a play cost $18 and child tickets cost $2. If there were 20 people at... (answered by jermz69)