SOLUTION: Your class sells a total of 64 tickets to a play. A student ticket costs $1, and an adult ticket costs $2.50. Your class collects $109 in total ticket sales. How many adult ticke

Question 962522: Your class sells a total of 64 tickets to a play. A student ticket costs $1, and an adult ticket costs $2.50. Your class collects $109 in total ticket sales. How many adult tickets did you sell? How many student tickets did you sell?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Your class sells a total of 64 tickets to a play. A student ticket costs $1, and an adult ticket costs $2.50. Your class collects $109 in total ticket sales. How many adult tickets did you sell? How many student tickets did you sell?
-----
Quantity Eq:: s + a = 64 tickets
Value Eq:::: s + 2.5a = 109 dollars
-------------------------
Subtract and solve for "a"::
1.5a = 45
a = 30 (# of adult tickets sold)
----
s = 64-30 = 34 (# of student tickets sold)
-----------
Cheers,
Stan H.
-----------
RELATED QUESTIONS
The theater club sells a total of 101 tickets to its first play. A student ticket cost... (answered by ikleyn)

Real World Application-Elimination Suppose your community center sells a total of 292... (answered by vleith)

A family goes to a school play. Two adult tickets and 1 student ticket costs $8.75.... (answered by stanbon)

584 tickets have been sold for the schools play. An adult ticket costs $5 and a student... (answered by ikleyn)

584 tickets have been sold for the schools play. An adult ticket costs $5 and a student... (answered by ikleyn,addingup)

Solve this application problem using a system of equations: Ron and Wanda are ticket... (answered by mananth)

A family buys tickets to a film. The tickets cost $64 for 2 adults and 4 children. An... (answered by Stengo46)

An adult ticket costs $5. Child's ticket costs $2. A total of 78 tickets were sold for... (answered by josgarithmetic,greenestamps)

ALTOGETHER 568 TICKETS WERE SOLD TO A PLAY. AN ADULT TICKET COSTS $5.00. A CHILD TICKET... (answered by ankor@dixie-net.com)