A parking lot contains a total of 52 cars and motorcycles. There are a total of 186 tires (not counting spare tires) in the lot. Assuming each car has 4 tires and each motorcycle has 2 tires, determine how many cars and how many motorcycles are in the parking lot.
186/4 46.5 cars Half a car is 2 wheels, so that counts as a motorcycle. 46 cars 6 motorcycles
There are c cars and m motorcycles c 52-m (52-m)4 + 2m 186 208-2m 186 2m 22 m 11 motorcycles c 41 cars
The first step is to define variables. I'll say 'm' is the number of motorcycles in the lot, and 'c' is the number of cars. Now, we can come up with two equations. m + c 52 because the total number of vehicles is 52. 4c + 2m 186 because there are 4 tires per car, 2 tires per motorcycle, and 186 tires in the lot. You can then solve using the substitution method. m 52 - c 4c + 2(52-c) 186 4c + 104 - 2c 186 2c 82 c 41 m + 41 52 m 11 So there are 41 cars and 11 motorcycles.
186/4 46.5 cars Half a car is 2 wheels, so that counts as a motorcycle. 46 cars 6 motorcycles
There are c cars and m motorcycles c 52-m (52-m)4 + 2m 186 208-2m 186 2m 22 m 11 motorcycles c 41 cars
The first step is to define variables. I'll say 'm' is the number of motorcycles in the lot, and 'c' is the number of cars. Now, we can come up with two equations. m + c 52 because the total number of vehicles is 52. 4c + 2m 186 because there are 4 tires per car, 2 tires per motorcycle, and 186 tires in the lot. You can then solve using the substitution method. m 52 - c 4c + 2(52-c) 186 4c + 104 - 2c 186 2c 82 c 41 m + 41 52 m 11 So there are 41 cars and 11 motorcycles.
