.
a gathering of 600 people for a children's concert generated $4000 in revenue
from the sale of tickets in which each adult was charged $7 and each child
was charged $5 each. How many children were there?
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x = the number of children
600-x = the number of adults.
Write the revenue equation (total money collected)
5x + 7*(600-x) = 4000 dollars.
Simplify and find x
5x + 4200 - 7x = 4000
5x - 7x = 4000 - 4200
-2x = -200
x = = 100.
ANSWER. 100 children.
CHECK. 100*5 + 7*(600-100) = 500 + 3500 = 4000 dollars total, confirming the answer.
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.