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.Com
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(52858)   (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).

------------------
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".


RELATED QUESTIONS

hi math is not my best skill and i have tried and tried to get the correct answer for my... (answered by stanbon,MathLover1)
A local movie theater charges $12 for an adult ticket and $10 for a child’s ticket. A... (answered by TimothyLamb)
A local movie theater charges $6 for each adult ticket and $3.50 for each child ticket.... (answered by Zucchini)
A local Movie theater charges $6 for each adult & $3.50 for each child ticket. if the... (answered by ReadingBoosters)
The movie theater charges $4 for each child ticket and $7 for each adult ticket. The art (answered by Greenfinch)
A movie theater charges $9 for an adult’s ticket, $7 for a senior ticket and $6 for a... (answered by josgarithmetic,ikleyn)
A local movie theater charges $6 for each adult ticket (a) and $3.50 for each child... (answered by tiffany222)
a movie theater charges $10 for an adult ticket and $7 for a child ticket. they sold 172... (answered by josgarithmetic)
A movie theater charges $8 for an adult ticket and $5 for a student ticket. 1 night,... (answered by checkley79)