SOLUTION: The ratio of the number of long term parking spaces to the number of short term parking spaces in Farmington Airport is 5 to 7. The ratio of the number of short term parking spaces

Algebra ->  Finance -> SOLUTION: The ratio of the number of long term parking spaces to the number of short term parking spaces in Farmington Airport is 5 to 7. The ratio of the number of short term parking spaces      Log On


   

Question 1077249: The ratio of the number of long term parking spaces to the number of short term parking spaces in Farmington Airport is 5 to 7. The ratio of the number of short term parking spaces to the number of parking spaces in the cell phone parking is 8 to 9. There is the total of 3180 parking spaces at the airport. How many parking spaces in the cell phone parking are there?
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
long term  :  short term   :   cell phone spaces
    5      :     7         :
           :     8         :        9


Get long term for the second row using factor 8%2F7.
5%288%2F7%29=40%2F7 

long term  :  short term   :   cell phone spaces
    5      :     7         :
   40/7    :     8         :        9


Multiply accross second row by 7.
long term  :  short term   :   cell phone spaces
    5      :     7         :
   40      :     56        :        63

Second row ratio is all whole numbers.


How many cell phone spaces?
%2863%2F%2840%2B56%2B63%29%29%2A3180
1260 cell phone spaces