SOLUTION: A total of 380 tickets were sold for the school play. They were either adult tickets or student tickets. There were 70 fewers student Tickets then adult tickets. how many adult tic

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Question 1196207: A total of 380 tickets were sold for the school play. They were either adult tickets or student tickets. There were 70 fewers student Tickets then adult tickets. how many adult tickets were bought ?
Found 2 solutions by ikleyn, josgarithmetic:
Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
.
A total of 380 tickets were sold for the school play.
They were either adult tickets or student tickets.
There were 70 fewers student Tickets then adult tickets.
how many adult tickets were bought ?
~~~~~~~~~~~~~~ 

Let "a" be the number of adult tickets.

Then the number of student tickets is (a-70).


The total number of the tickets is a + (a-70) = 2a-70, and it equals 380 tickets, gibing an equation

    2a - 70 = 380.


It implies  

    2a = 380 + 70 = 450,

     a            = 450/2 = 225.


ANSWER.  225 adult tickets.

Solved.

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It is a standard and typical tickets problem.

There are different methods of solving such problems.
In this site, there is a lesson
    - Using systems of equations to solve problems on tickets
explaining and showing different methods of solving such problems.

From this lesson,  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 lesson is 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.




Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
A adult tickets
A-70 student tickets

A%2B%28A-70%29=380
.
.