SOLUTION: If 114 people attend a concert and tickets for adults cost $3.75 while tickets for children cost $2.5 and total receipts for the concert was $367.5, how many of each went to the co

Question 1105487: If 114 people attend a concert and tickets for adults cost $3.75 while tickets for children cost $2.5 and total receipts for the concert was $367.5, how many of each went to the concert?
adults
children
Answer by ikleyn(52751) (Show Source): You can put this solution on YOUR website!
.

Adult tickets cost + Children tickets cost = total cost

3.75*A             + 2.50*(114-A)          = 367.50


Multiply both sides by 100 to get


375*A + 250*(114-A) = 36750


Solve for A, which is the number of adults.


Then evaluate 114-A, which is the number of children.

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To see more solved problems on tickets, look into the lessons
    - Using systems of equations to solve problems on tickets
    - Three methods for solving standard (typical) problems on tickets
in this site.

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.

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