There are 4 times as many used cars as new cars in a dealership with a total of 120 cars. How many new cars are there?

To determine the number of new cars in the dealership, we can set up a mathematical relationship based on the information provided. We know that there are four times as many used cars as new cars. Let's say the number of new cars is represented by ( x ). Then, the number of used cars can be expressed as ( 4x ).

According to the problem, the total number of cars (new plus used) is 120. Therefore, we can create the following equation:

[ x + 4x = 120 ]

This simplifies to:

[ 5x = 120 ]

Now, to find ( x ), which represents the number of new cars, we divide both sides of the equation by 5:

[ x = \frac{120}{5} ]

This gives us:

[ x = 24 ]

Thus, there are 24 new cars in the dealership. This solution is consistent with the total number of cars given in the problem, as it maintains the ratio of used to new cars stated in the question.