A golfer has two options for membership in a golf club. A social membership costs $1775 in annual dues. In addition, he would pay a $65 greens fee and a $25 golf cart fee every time he played. A golf membership costs $2425 in annual dues. With this membership, the golfer would only pay a $25 golf cart fee when he played. How many times per year would the golfer need to play golf for the two options to cost the same?

Answer: the golfer would need to play golf 10 times per year.

Step-by-step explanation:

Let x represent the number of times per year that the golfer need to play golf for the two options to cost the same.

A social membership costs $1775 in annual dues. In addition, he would pay a $65 greens fee and a $25 golf cart fee every time he played. This means that the total cost of playing golf for x times with the social membership option is

1775 + (65 + 25) x

A golf membership costs $2425 in annual dues. With this membership, the golfer would only pay a $25 golf cart fee when he played. This means that the total cost of playing golf for x times with the golf membership option is

2425 + 25x

For the costs to be the same,

1775 + 65x + 25x = 2425 + 25x

65x + 25x - 25x = 2425 - 1775

65x = 650

x = 10