SOLUTION: A local movie theater charges $12 for an adult ticket and $10 for a child's ticket. A group of 8 people spent a total of $86 on tickets to a movie. How many adults and how many

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A local movie theater charges $12 for an adult ticket and $10 for a child's ticket. A group of 8 people spent a total of $86 on tickets to a movie. How many adults and how many      Log On


   

Question 1117986: A local movie theater charges $12 for an adult ticket and $10 for a child's ticket. A group of 8 people spent a total of $86 on tickets to a movie. How many adults and how many children were in the group?
a. write a system of linear equations based on the description. Use x to represent the number of adults and y to represent the number of children.
Answer by ikleyn(52855) About Me  (Show Source):
You can put this solution on YOUR website!
.
x + y = 8         (1)    (counting the number of persons)
12x + 10y = 86    (2)    (counting dollars).

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It is a standard ticket problem.

On 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".