Question 1004237
c, couples count
s, singles count


{{{400c+250s=12150}}}, to count the money


Couple, means 2, and single, means 1; which are rates, themselves.
Use this to account for the 59 PEOPLE who attended.
{{{(2/1)c+s=59}}}
or simply
{{{2c+s=59}}}


Obtain the system  {{{system(400c+250s=12150,2c+s=59)}}}.


Obvious simplification first,
{{{system(8c+5s=243,2c+s=59)}}}.
Now, solve the system.


Elimination might be one way to go.
{{{system(8c+5s=243,8c+4s=236)}}}
Subtract the second from the first,
{{{s=43-36}}}
{{{highlight(s=7)}}}


Finding how many couples,
{{{2c+s=59}}}
{{{2c=59-s}}}
{{{c=(59-s)/2}}}
{{{c=(59-7)/2}}}
{{{highlight(c=26)}}}-------how many couples attende