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?

Question

Mathematics

Hugh Hebert

16 May, 19:50

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?

+5

Answers (1)

Know the Answer?

Cocoa · Answer 1

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