Question 1137198
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<pre>
Let x = # of lower reserved tickets, y = # of upper reserved tickets.


From the condition, you have these 2 equations


         x +      y = 345        (1)    (counting tickets)

    9.50*x + 8.00*y = 2809.50    (2)   (counting money)


From equation (1), express  y = 345 - x  and substitute it into equation (2), You will get


    9.50x + 8*(345-x) = 2809.50.


Express x and calculate answer


    x = {{{(2809.50 - 8*345)/(9.50 - 8)}}} = 33.


Then from equation (1),  y = 345 - 33 = 312.


<U>ANSWER</U>.  33 lower reserved tickets and 312 upper reserved tickets.


<U>CHECK</U>.   33*9.50 + 312*8 = 2809.50 dollars.   ! Correct !
</pre>

The problem solved using 2-equation setup and the Substitution method.


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It is a standard and typical ticket problem.


For ticket problems, &nbsp;read the lessons

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/coordinate/lessons/Using-systems-of-equations-to-solve-problems-on-Tickets.lesson>Using systems of equations to solve problems on tickets</A> 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/coordinate/lessons/Three-methods-for-solving-standard-typical-problem-on-tickets.lesson>Three methods for solving standard (typical) problems on tickets</A>

in this site.


From these lessons, &nbsp;learn on how to solve such problems once and for all.


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>".