Question 1137930
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<pre>
Let x = # of t-shirts, y = # of  sleeve shirts.


From the condition, you have these 2 equations


         x +    y =  8        (1)    (counting shirts)

       5*x +  8*y = 55        (2)    (counting money)
 

From equation (1), express  y = 8 - x  and substitute it into equation (2). You will get


       5x + 8*(8-x) = 55.


Express x and calculate answer


    x = {{{(55 - 8*8)/(5 - 8)}}} = 3.


Then from equation (1),  y = 8 - 3 = 5.


<U>ANSWER</U>.  3 t-shirts and 5 sleeve shirts.


<U>CHECK</U>.   3*5 + 5*8 = 55 dollars.   ! Correct !
</pre>

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


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This problem is similar to standard ticket problems.


For such 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>".