SOLUTION: If 118 people attend a concert and tickets for adults cost $4 while tickets for children cost $1.5 and total receipts for the concert was $334.5, how many of each went to the conce

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Question 1150734: If 118 people attend a concert and tickets for adults cost $4 while tickets for children cost $1.5 and total receipts for the concert was $334.5, how many of each went to the concert?

Answer by ikleyn(52771) About Me  (Show Source):
You can put this solution on YOUR website!
.

Let x be the number of adults.

Then (118-x) is the number of children.


The setup equation is


    4x + 1.5*(118-x) = 334.50 dollars


for the total.


From the equation,


    x = %28334.50-1.5%2A118%29%2F%284-1.5%29 = 63.


ANSWER.  63 adults and 118-63 = 55 children.


CHECK.   63*4 + 55*1.50 = 334.50 dollars.    ! Correct !

Solved.

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It is a standard tickets problem.

There are different methods of solving such 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 and 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".

Save the link to this online textbook together with its description

Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson

to your archive and use it when it is needed.