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The cost of an individual ticket is \$14, and the cost of a season pass is \$175.

The season pass will admit Armin to any home basketball game at no additional cost.

What is the minimum number of home basketball games Armin must attend this season

in order for the cost of a season pass to be less than the total cost of buying an individual ticket for each game he attends?

$a.\ {8}\quad b.\ {9}\quad c.\ {12}\quad d.\ {13}\quad e.\ {20}$

\dfrac{\textit{season pass}}

{\textit{games attende}}&=\textit{cost per game}\\ \\

\dfrac{175}{13}

&=13.46

&\textit{games where cost per game is less with season pass}\\ \\

\dfrac{175}{12}

&=14.58

\end{array}$

OK the question is a somewhat tricky and hopefully the solution is quick way to solve it

Not sure if I would call this an observation question only

ck for typos thanks