SOLUTION: Ninety-five percent of cars are parked in one space in the parking lot. If 8 cars are taking two spaces, how many cars are parked in one space?

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Ninety-five percent of cars are parked in one space in the parking lot. If 8 cars are taking two spaces, how many cars are parked in one space?      Log On


   



Question 59610: Ninety-five percent of cars are parked in one space in the parking lot. If 8 cars are taking two spaces, how many cars are parked in one space?
Found 2 solutions by tutorcecilia, funmath:
Answer by tutorcecilia(2152) About Me  (Show Source):
You can put this solution on YOUR website!
100%-95%=5%
8 cars = 5% of the cars parked in two spaces.
.
Part/Whole = Percent/100 [Use the formula for percents]
8/x=5/100 [Plug-in the values]
(8)(100)=5x [Cross-multiply]
800=5x [solve for x]
800/5=x
160=x (total number of cars)
.
x/160=95/100 [Plug-in the values of the 95% of the cars parked in one space]
100x=(160)(95)
100x=152000
x=152 cars are parked in one space

Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
Ninety-five percent of cars are parked in one space in the parking lot. If 8 cars are taking two spaces, how many cars are parked in one space?
:
I am not sure if this is the easiest way to do this, but here's one way to do this.
If 95% parked in 1 space, then 100%-95%=5% parked in two spaces.
Let the total number of cars be x:
then
.05x=8
.50x/.05=8/.05
x=160
Once you find that then, 160-8=152 parked in one space.
You can also say, .95(160)=152 parked in one space.
:
Here's another way to set this up. Set up a proportion of 95% to 5% equal to x to 8:
.95%2F.05=x%2F8
8%2A%28.95%29%2F.05=x
highlight%28152=x%29
Happy Calculating!!!