Question

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?

Answer 1

Answer:

25

Step-by-step explanation:

Where x=number of games, and y=cost where cost with is the same as without:

First equation: $500 +$35x = y

2nd equation: $55x=y

So rearrange the 2nd to get x=(y/55)

Substitute x=y/55 into 1st equation:

500+35(y/55) = y

Multiply all by 55:

27500+35y=55y

Rearrange:

20y=27500

y=27500/20=$1375

Substitute y=1375 into x=y/55:

x=1375/55=25 games

So x=25