Adult tickets for the championship game are usually $5, but on Seniors’ Day, seniors paid $4. Children’s tickets were $2.50. Sales of 1,800 tickets totaled $7,425, and children and seniors accounted for one-half of the tickets sold.  Using A, S, and C for the variables (quantity of each type of ticket), write an equation for the total number of tickets. Use information from the problem to write an equation for the number of tickets of tickets for S and C. Write an equation for the total income using A, S, and C. The value of A is implied in the information. What is it? Substitute the value for A and solve the two equations with S and C. to find their value.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter9: Systems Of Linear Equations
Section9.5: Multiplication With The Addition-or-subtraction Method
Problem 10P
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Adult tickets for the championship game are usually $5, but on Seniors’ Day, seniors paid $4. Children’s tickets were $2.50. Sales of 1,800 tickets totaled $7,425, and children and seniors accounted for one-half of the tickets sold. 

  1. Using A, S, and C for the variables (quantity of each type of ticket), write an equation for the total number of tickets.
  2. Use information from the problem to write an equation for the number of tickets of tickets for S and C.
  3. Write an equation for the total income using A, S, and C.
  4. The value of A is implied in the information. What is it?
  5. Substitute the value for A and solve the two equations with S and C. to find their value.
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