Question 1108944
The admission fee at a small fair is $1.50 for children and $4.00 for adults. On a certain day, 2200 people enter 
the fair and $5050 is collected. How many children and how many adults attended? 
======


Equations:
a + c = 2200 tickets
4a+1.5c = 5050 dollars
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Modify for elimination::
4a + 4c = 4*2200
4a + 1.5c = 5050
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Subtract and solve for "c":
2.5c = 3750
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c = {{{3750/2.5}}} = 1500.


<U>Answer</U>.  1500 children and  2200 - 1500 = 700 adults.


Solved.


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There is about one thousand solved word problems in this site on establishing and solving systems of 2 equations in 2 unknowns.


See the lessons

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&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/coordinate/lessons/Roses-and-violets.lesson>Roses and vilolets</A> 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/coordinate/Counting-calories-and-grams-of-fat-in-combined-food.lesson>Counting calories and grams of fat in combined food</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/coordinate/lessons/How-to-algebreze-and-to-solve-this-problem-on-2-eqns-in-2-unknwns.lesson>HOW TO algebreze and solve this problem on 2 equations in 2 unknowns</A> 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/coordinate/lessons/One-unusual-problem-to-solve-using-system-of-two-equations.lesson>One unusual problem to solve using system of two equations</A> 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/coordinate/lessons/Solving-mentally-word-problems-on-two-equations-in-two-unknowns-NEW.lesson>Solving mentally word problems on two equations in two unknowns</A> 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/coordinate/OVERVIEW-of-lessons-on-solving-systems-of-two-linear-equations-in-two-unknowns.lesson>OVERVIEW of lessons on solving systems of two linear equations in two unknowns</A>


Also, &nbsp;you have this free of charge online textbook in ALGEBRA-I in this site

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson>ALGEBRA-I - YOUR ONLINE TEXTBOOK</A>.


The referred lessons are the part of this online textbook under the topic "<U>Systems of two linear equations in two unknowns</U>".



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Free of charge online textbook in ALGEBRA-I
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