Question 457864
Let {{{a}}} = number of games played this year
given:
Last year team played this many games:
{{{ a + 6 }}}
Games won this year:
{{{ .6a }}}
Games won last year:
{{{ .5*(a + 6) }}}
and
{{{ .6a = .5*(a + 6) + 1 }}}
{{{ .6a = .5a + 3 + 1 }}}
{{{ .1a = 4 }}}
{{{ a = 40 }}}
{{{ a + 6 = 46 }}}
the team played 40 games this year and 46 last year
check answer:
This year they won 60% of games played
{{{ .6*40 = 24 }}}
They won 50% of games played last year:
{{{ .5*(40 + 6) = 23 }}}
They won one more game this year than last year:
{{{ 24 - 23 = 1 }}}
OK