Question 137940
Let number of wins = {{{w}}}
Let number of losses = {{{l}}}
Let number of ties = {{{t}}}
{{{w + l + t = 81}}}
{{{w = 3t - 1}}}
{{{w = l + 8}}}
----------------
{{{3t = w + 1}}}
{{{t = (w+1)/3}}}
I'll get everything in terms of {{{l}}}
{{{l + 8 + l + (w+1)/3 = 81}}}
{{{l + 8 + l + (l+9)/3 = 81}}}
{{{6l + 24 + l + 9 = 243}}}
{{{7l = 243 - 33}}}
{{{7l = 210}}}
{{{l = 30}}}
{{{w = l + 8}}}
{{{w = 38}}}
{{{t = (w+1)/3}}}
{{{t = 39/3}}}
{{{t = 13}}}
There were 38 wins, 30 losses, and 13 ties
check:
{{{w + l + t = 81}}}
{{{38 + 30 + 13 = 81}}}
{{{81 = 81}}}
-------------
{{{w = 3t - 1}}}
{{{38 = 3*13 - 1}}}
{{{38 = 38}}}
-------------
{{{w = l + 8}}}
{{{38 = 30 + 8}}}
{{{38 = 38}}}