Question 785311
THE ALGEBRA WAY:
With a social membership AlLbert would have to pay the $75 ($50 for the use of the green + $25 for the cart) each time he played.
If Albert played {{{n}}} times in a year, his total cost for the year would be
${{{1775+75n}}}.

With a gold membership, ALbert would only have to pay $25 for the cart each time he played.
For the same {{{n}}} plays in a year, with a gold membership, his cost for the year would be
${{{2425+25n}}}
When both options cost the same,
{{{1775+75n=2425+25n}}}
{{{75n=2425+25n-1775}}}
{{{75n-25n=2425-1775}}}
{{{50n=650}}}
{{{n=650/50}}}
{{{highlight(n=13)}}}
 
THE FIFTH GRADER WAY:
With a gold membership, each time Albert played, he would only have to pay $25 for the cart, instead of $75 for the cart and the green. That would save him $50=$75-$25 each time he played.
However, the gold membership costs $2425-$1775=$650 more than the cheaper social membership. Those $650 would pay for $650/$50={{{highlight(13)}}} times the extra $50 green fee charges per play.