The Big Screamer Coaster carries 92 people altogether. Some of its cars carry 4 passengers, and the rest carry 6 passengers. There are three less 6-passenger cars than 4-passenger cars. How many 4-passenger cars are there?

first, represent them as variables:

let x = four-passenger cars
let y = six-passenger cars
set up the equations [since two unknowns, you must have two equations]:
(1) 4x+6y=92 ==> since 92 people altogether
(2) y=x-3 ==> since three less six-passenger cars

then you can substitute the equation (2) to (1):
4x+6(x-3)=92
4x+6x-18=92
10x=110
x=11 four-passenger cars

i hope i was able to help.. =)

thank you this was very helpful

Let's assume the number of 4-passenger cars as x.

The number of 6-passenger cars would be x - 3 (since there are three less 6-passenger cars than 4-passenger cars).

Now, let's calculate the total number of passengers based on the given information:

Number of passengers in 4-passenger cars = 4 * x = 4x
Number of passengers in 6-passenger cars = 6 * (x - 3) = 6x - 18

The total number of passengers is given as 92. So we can write:

4x + (6x - 18) = 92

Simplifying the equation:

4x + 6x - 18 = 92
10x - 18 = 92
10x = 110
x = 11

Therefore, there are 11 4-passenger cars.

To solve this problem, we can use algebraic equations.

Let's assume the number of 4-passenger cars is x.
Since there are three fewer 6-passenger cars than 4-passenger cars, the number of 6-passenger cars will be x - 3.

To find the total number of passengers, we can calculate:
Total passengers in 4-passenger cars = 4 * x (since each car carries 4 passengers)
Total passengers in 6-passenger cars = 6 * (x - 3) (since each car carries 6 passengers)

Adding both of these together will give us the total number of passengers:
Total passengers = Total passengers in 4-passenger cars + Total passengers in 6-passenger cars

Given that the total number of passengers is 92, the equation becomes:

4x + 6(x - 3) = 92

Now, let's solve this equation to find the value of x, which represents the number of 4-passenger cars.

4x + 6x - 18 = 92
10x - 18 = 92
10x = 92 + 18
10x = 110
x = 110 / 10
x = 11

Therefore, there are 11 four-passenger cars.