SOLUTION: The council sold triple the number of adults tickets as student tickets to the winter carnival. Adult tickets cost $4.00 and student tickets cost $3.00. If the total sales is $300.

Algebra ->  Human-and-algebraic-language -> SOLUTION: The council sold triple the number of adults tickets as student tickets to the winter carnival. Adult tickets cost $4.00 and student tickets cost $3.00. If the total sales is $300.      Log On


   

Question 1132345: The council sold triple the number of adults tickets as student tickets to the winter carnival. Adult tickets cost $4.00 and student tickets cost $3.00. If the total sales is $300.00, how many student tickets were sold?
Answer by ikleyn(52921) About Me  (Show Source):
You can put this solution on YOUR website!
.
If x is the number of the student tickets, then the number of the adult tickets is 3x.


The "revenue" equation is


3*x + 4*(3x) = 300


3x + 12x = 300


15x = 300  ====>  x = 300%2F15 = 20   student tickets.           ANSWER


Then the number of adult tickets is 3*20 = 60.              ANSWER

Solved.

------------------

It is a standard and typical ticket problem.

For ticket problems,  read the lessons
    - Using systems of equations to solve problems on tickets
    - Three methods for solving standard (typical) problems on tickets
in this site.

From these lessons,  learn on how to solve such problems once for all.

Also,  you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic "Systems of two linear equations in two unknowns".