steve whishes to join the elton country club to play golf.he has two membership options. a social membership costs $1775 in annual dues. in addition, he would pay $50 green fee and a $25 golf cart fee every time he played. a golf membership cost $2425 in annual dues. with this memmbership steve would only pay a $25 golf cart fee when he played. how many times per year would steve need to golf for the two opetions to cost the same ammount of money.
2007-01-27 09:00:08 · 7 answers · asked by Azumi 2 in Science & Mathematics ➔ Mathematics
Let x = number of games played.
Then 1775+(50+25)x = 2425 + 25x
1775 +75x = 2425 +25 x
75x - 25x =2425-1775
50x = 650
x = 13 games
2007-01-27 09:06:42 · answer #1 · answered by ironduke8159 7 · 0⤊ 0⤋
social membership cost
y=1775+75x
golf membership cost
y=2425+25x
now you have a system
so 1775+75x=2425+25x
solve forx
-25x fom both sides
1775+50x=2425
-1775 from both
50x=650
div by 50
x=13
check it
if he play 13 times
the social mem will cost
1775+25(13)+50(13)=975+1775=2750
the golf meme will cost
2425+ 25(13)=2425+325=2750
so 13 times
2007-01-27 17:13:08 · answer #2 · answered by dla68 4 · 0⤊ 0⤋
12 times
2007-01-27 17:04:58 · answer #3 · answered by Red Bear Cries 3 · 0⤊ 0⤋
about 12 times
2007-01-27 17:06:03 · answer #4 · answered by Questionable23 2 · 0⤊ 0⤋
turn them into equations.
1775 +75x
2425 +25x
as said before. But, make them = so
1775 + 75x = 2425 + 25x
1775 + 50x = 2425
50x = 24255 - 1775
50x = 650
x = 13 times
2007-01-27 17:06:57 · answer #5 · answered by SPB 6 · 0⤊ 0⤋
13 is right.
The social membership is $650 cheaper.
Playing golf as a social member is $50 more expensive.
If Steve plays 13 times, the extra $50 each time adds up to $650, so the social membership option cost him just as much as the golf membership option.
2007-01-27 17:57:55 · answer #6 · answered by actuator 5 · 0⤊ 0⤋
turn them into equations.
1775 +75x
2425 +25x
graph them and find where they cross
2007-01-27 17:04:22 · answer #7 · answered by m m 3 · 0⤊ 0⤋