5 x − t ak e n s p a ces 3 x − e m pt y s p a ces 45 = 3 x ∣ d i v i d e b y 3 x = 15 5 x + 3 x = 8 x = 8 ∗ 15 = 120 T h ere a re 120 s p a ces in t o t a l .
The total number of parking spaces in the lot is 72, calculated by solving the ratio of empty to taken spaces. With 45 empty spaces given and a ratio of 5:3, we determined that there are 27 taken spaces. Adding both numbers gives a total of 72 spaces.
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