<PRE><B>Question 1202076</B>
&lt;pre&gt;
CITY          HOTEL Charge     tax rate      taxes
  1                 x              8.5%      0.085x
  2                 x+1000         10       0.10(x+1000)
TOTAL                                        1025
&lt;/pre&gt;
Sum of taxes for the two combined hotels, in all a single variable, {{{0.085x+0.085x+1000=1025}}}.
Solve for x, the hotel charge for in the first city:  
{{{0.085x+0.10(x+1000)=1025}}}

{{{0.085x+0.1x+100=1025}}}
{{{0.185x=1025-100}}}
{{{x=925/0.185}}}
{{{highlight(x=5000)}}}---------hotel for first city


Hotel charge in second city: {{{highlight(6000)}}}
</PRE>