For an annual membership fee of $500, Mr. Bailey can join a country club that would allow him to play a round of golf for $35. Without the membership, the country club charges $55 for each round of golf. How many rounds of golf would Mr. Bailey have to play for the cost to be the same with and without a membership? Write an equation or inequality to describe this situation. *

Respuesta :

Answer:

20

Step-by-step explanation:

let the number of rounds of golf played for the cost to equal be x.

-It costs $35/ round when the membership of $500 is paid, hence, total annual cost is:

[tex]500+35x[/tex]

#When membership is not paid, the annual cost is expressed as:

[tex]55x[/tex]

#Since the cost should be equal after x rounds, we equate the two to solve for x:

[tex]500+35x=55x\\\\500=20x\\\\x=25[/tex]

Hence, Mr Bailey has to play 20 rounds of golf for the cost in both scenarios to be equal.