a small parking lot is being used for a special event. the lot charges $4 for a car and $6 for a truck. if the lot currently has 35 vehicles altogether and has made $174 how many cars are in the lot
Let's say the number of cars in the lot is c. Since the total number of vehicles in the lot is 35, the number of trucks in the lot is 35 - c.
The total amount made from cars is 4c, and the total amount made from trucks is 6(35 - c).
Therefore, the total amount made is 4c + 6(35 - c).
Since the total amount made is $174, we can write the equation 4c + 6(35 - c) = 174.
Simplifying this equation, we get 4c + 210 - 6c = 174.
Combining like terms, we get -2c + 210 = 174.
Subtracting 210 from both sides, we get -2c = -36.
Dividing both sides by -2, we get c = 18.
Therefore, there are 18 cars in the lot.
Let's assume the number of cars in the parking lot is "C" and the number of trucks is "T".
According to the given information, the parking lot charges $4 for a car and $6 for a truck. This means that the revenue generated from cars can be calculated as 4C, and the revenue generated from trucks can be calculated as 6T.
We are given that the lot has made $174 in total. So, we can write the equation:
4C + 6T = 174 ...(1)
We also know that the lot currently has 35 vehicles altogether. Therefore, we can write another equation:
C + T = 35 ...(2)
To find the number of cars in the lot, we need to solve these two equations simultaneously.
Let's rearrange equation (2) to express T in terms of C:
T = 35 - C
Substitute this value of T in equation (1):
4C + 6(35 - C) = 174
Simplifying the equation:
4C + 210 - 6C = 174
-2C + 210 = 174
-2C = 174 - 210
-2C = -36
Divide both sides of the equation by -2 to solve for C:
C = -36 / -2
C = 18
Therefore, there are 18 cars in the parking lot.
To find the number of cars in the parking lot, we can use a system of equations. Let's assume the number of cars in the parking lot is represented by the variable 'c', and the number of trucks is represented by the variable 't'.
We are given two pieces of information:
1. The total number of vehicles in the lot is 35, so we can write the equation c + t = 35.
2. The total amount earned from the lot is $174, with cars costing $4 each and trucks costing $6 each. So we can write the equation 4c + 6t = 174.
Now we need to solve this system of equations to find the value of 'c', which represents the number of cars in the lot.
There are multiple ways to solve this system, but let's use the method of substitution.
From the first equation (c + t = 35), we can solve for t by subtracting c from both sides:
t = 35 - c
Now substitute this value of t into the second equation:
4c + 6(35 - c) = 174
Simplify the equation:
4c + 210 - 6c = 174
Combine like terms:
-2c + 210 = 174
Subtract 210 from both sides:
-2c = 174 - 210
Simplify:
-2c = -36
Divide by -2 to solve for c:
c = (-36) / (-2)
Simplify:
c = 18
Therefore, there are 18 cars in the parking lot.