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Question 1187496: 1. During the old normal, regular admission for a movie ticket is Php 160 per ticket
while the seniors pay Php 140 per ticket. If the total sales for a certain movie is
Php 29, 600 for an audience of 190 people, how many seniors watch the movie?
How many are not seniors?
Answer by ikleyn(52794)   (Show Source):
You can put this solution on YOUR website! .
During the  normal, regular admission for a movie ticket is Php 160 per ticket
while the seniors pay Php 140 per ticket. If the total sales for a certain movie is
Php 29, 600 for an audience of 190 people, how many seniors watch the movie?
How many are not seniors?
~~~~~~~~~~~~~~~~
x = seniors
(190-x) = the rest audience.
Total money equation
140x + 160*(190-x) = 29600
From the equation
x =  = 40.
So, there were 40 seniors. The rest, 190 - 40 = 150 are not seniors.
ANSWER. The number of not seniors is 150.
CHECK. 140*40 + 160*150 = 2960, total money. ! 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 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.
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