Need help problem solving--
A 500 space parking lot is packed with motorcycles and passenger cars, with only one vehicle in each space. How many motorcycles & cars r there if the total number of tires on the parked vehicles is 1650?
I think I have to do this in some kind of equation format, I am so confused.
see your post below for answer
and you need more help, post back
I gave you the equations below, with the answer
To solve this problem, we need to set up an equation based on the given information.
Let's assume the number of motorcycles in the parking lot is "m" and the number of passenger cars is "c."
Each motorcycle has 2 tires, while each passenger car has 4 tires. So, we can create an equation based on the total number of tires.
The total number of tires from motorcycles will be 2 times the number of motorcycles, which is 2m.
The total number of tires from cars will be 4 times the number of cars, which is 4c.
According to the given information, the total number of tires on parked vehicles is 1650. So, we can write the equation as 2m + 4c = 1650.
But we also know that the total number of vehicles in the parking lot is 500. So, we can write another equation as m + c = 500.
Now we have a system of two equations:
2m + 4c = 1650
m + c = 500
To solve this system, we can use substitution or elimination method. Let's use the elimination method.
First, we'll multiply the second equation by 2, so it becomes 2m + 2c = 1000.
Next, we subtract the second equation from the first equation: (2m + 4c) - (2m + 2c) = 1650 - 1000.
This simplifies to 2c = 650.
Now, divide both sides of the equation by 2: c = 650 / 2 = 325.
Substitute this value back into the second equation to find the value of m: m + 325 = 500.
Subtract 325 from both sides: m = 500 - 325 = 175.
Therefore, there are 175 motorcycles and 325 cars in the parking lot.