SOLUTION: An auditorium sold 1200 tickets to a recent magic show. Ticket prices were $5 for adults and $3 for children. They took in $5180. How many adult tickets and how many children's tic
Algebra.Com
Question 94406: An auditorium sold 1200 tickets to a recent magic show. Ticket prices were $5 for adults and $3 for children. They took in $5180. How many adult tickets and how many children's tickets we sold?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Let a = no. of adult ticket sold, and c = no. of children's tickets
:
Write an equation representing each statement:
"An auditorium sold 1200 tickets to a recent magic show."
a + c = 1200
Rearrange equation to be used for substitution (subtract a from both sides):
c = (1200 - a)
:
"Ticket prices were $5 for adults and $3 for children. They took in $5180."
5a + 3c = 5180
:
How many adult tickets and how many children's tickets we sold?
:
Substitute (1200-a) for c in the above equation:
5a + 3(1200-a) = 5180
5a + 3600 - 3a = 5180; multiplied what's inside the bracket
5a - 3a = 5180 - 3600; subtract 3600 from both sides
2a = 1580
a = 1580/2
a = 790 adults
:
You know the total was 1200 so it is an easy matter to find the no. of children
:
Check your solutions in 5a + 3c = 5180 equation
:
Any questions?
RELATED QUESTIONS
A theatre contains 459 seats and tickets prices for a recent play were $41 for adults,... (answered by richwmiller)
A movie theater has two ticket prices: $7 for adults and $5 for children. If the box... (answered by mananth)
The member of the student council sold tickets to their annual fund raiser talent show... (answered by reviewermath)
A movie theater has two ticket prices: $8 for adults and $5 for children. I f the box... (answered by ikleyn)
ticket prices Mario's Marionettes donated free tickets for their show to the local Boys... (answered by ankor@dixie-net.com)
A movie theater has two ticket prices $8 for adults and $5 for children if the box office (answered by stanbon)
A movie theater has two ticket prices: $8.00 for adults and $5.00 for children. If the... (answered by Fombitz)
A theatre contains 459 seats and the ticket prices for a recent play were $53 for adults... (answered by Bay0913)
ive gone blank for this problem i dont know how to start off!!
A local theater sold... (answered by lwsshak3)