SOLUTION: Albert Sanchez has two options for membership in a gold club. A social membership costs $1775 in annual dues. In addition, he would pay a $50 green fee and a $25 golf cart fee ever

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Question 785311: Albert Sanchez has two options for membership in a gold club. A social membership costs $1775 in annual dues. In addition, he would pay a $50 green fee and a $25 golf cart fee every time he played. A gold membership costs $2425 in annual dues. With this membership, Albert would only pay a $25 golf cart fee when he played. How many times per year would Albert need to golf for the two options to cost the same?
Please help me find the answer.
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
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%2B75n.
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%2B25n
When both options cost the same,
1775%2B75n=2425%2B25n
75n=2425%2B25n-1775
75n-25n=2425-1775
50n=650
n=650%2F50
highlight%28n=13%29

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%2813%29 times the extra $50 green fee charges per play.