Question 1122087
<pre>
                  HOTEL A        HOTEL B      

INITIALLY            A             B           TOTAL  6500


AFTER
GUESTS LEFT      {{{(1/4)A}}}          {{{(2/5)B}}}       DIFFERENCE {{{(2/5)B-(1/4)A=260}}}
</pre>


{{{system(A+B=6500,(2/5)B-A/4=260)}}}
Solve this system for A and B.

-

{{{20(2/5)B-(20)(A/4)=20*260}}}

{{{8B-5A=5200}}}

{{{8(6500-A)-5A=5200}}}

{{{52000-8A-5A=5200}}}

{{{-13A=5200-52000}}}

{{{highlight(A=3600)}}}