Question 1203064
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<pre>
x tickets        at the price $12.50, and

(415-x) tickets  at the price  $8.00.


Write the total cost equation

    12.50x + 8*(415-x) = 4085  dollars.


Simplify and find x

    12.50x + 3320 - 8x = 4085,

    12.50x - 8x = 4085 - 3320

         4.50x  =    765

             x  =    765/4.50 = 170.


<U>ANSWER</U>.  170 tickets at the price of $12.50  and the rest, 415-170 = 245 tickets at the price of $8.


<U>CHECK</U>.  12.50*170 + 8*245 = 4085,  total cost.  ! correct !
</pre>

Solved.


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To see many other similar solved problems using one equation in one unknown, &nbsp;look into the lesson

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/equations/Typical-problems-on-selling-and-buying-items.lesson>Typical problems on buying and selling items</A> 

in this site.


To see many other similar solved problems using systems of two equations in two unknowns, &nbsp;look into the lesson

&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> 

in this site.