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The homecoming dance at Liberty High School happened last Saturday. Many students bought tickets in advance for $5 each.
Other students bought tickets at the door for $7 each. In all, 290 students attended the dance and $1790 was the total for all ticket sales.
Find out how many students bought tickets in advance and how many bought tickets at the door.
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Let x be the number of the $7 tickets;
then the number of the $5 tickets is (290-x).
The total money equation is
7x + 5*(290-x) = 1790 dollars.
From the equation
x = = 170.
ANSWER. 170 "at the door" tickets and (290-170) = 120 "advance" tickets.'
CHECK. 170*7 + 120*5 = 1790 dollars, total. ! Correct !
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 are lessons
- Using systems of equations to solve problems on tickets
- Three methods for solving standard (typical) problems on tickets
explaining and showing all basic methods of solving such problems.
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 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.