Question 1139088
.
<pre>

Let x = # of three-bedroom units, y = # of four-bedroom units.


From the condition, you have these 2 equations


         x +     y = 198        (1)    (counting units)

       3*x +   4*y = 710        (2)    (counting rooms)


From equation (1), express  y = 198 - x  and substitute it into equation (2). You will get


      3x + 4*(198-x) = 710.


Express x and calculate answer


    x = {{{(710 - 4*198)/(3 - 4)}}} = 82.


Then from equation (1),  y = 198 - 82 = 116.


<U>ANSWER</U>.  82 three-bedroom units and 116 four-bedroom units.


<U>CHECK</U>.   3*82 + 4*116 = 710 rooms.   ! Correct !
</pre>

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


--------------


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>".