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?

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To determine the number of new cars in the dealership, let’s define the number of new cars as ( x ). According to the problem, there are four times as many used cars as new cars, which means there are ( 4x ) used cars.

The total number of cars, both new and used, is given as 120. This can be expressed in the equation:

[ x + 4x = 120 ]

Combining like terms leads to:

[ 5x = 120 ]

To find ( x ), divide both sides of the equation by 5:

[ x = \frac{120}{5} = 24 ]

Thus, there are 24 new cars in the dealership. This is why the choice of 24 is correct. It accurately reflects the relationship stated in the problem between the number of new cars and used cars, and it satisfies the total count of cars.

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