A car dealership has 240 cars in the parking lot and 17.5 percent of them are red. Of the other 6 colors in the lot, each color has the same number of cars. If one of the colors is black, how many black cars are in the lot?

Verified Answer :

33 cars
240÷100×17.5=42
240-42=198
198÷6=33

Answer: There are 33 black cars in the lot.

Step-by-step explanation:

Given : A car dealership has 240 cars in the parking lot and 17.5 percent of them are red.

i.e. Total cars = 240

Percentage of red cars = 17.5 %

Number of red cars = 17.5% of 240

\(0.175\times240=42\)

Then , the number of cars of other colors = 240-42=198

Also, it is given that :  Of the other 6 colors in the lot, each color has the same number of cars.

If one of the colors is black , then the number of black cars will be :-

\(\dfrac{198}{6}=33\)

Therefore , there are 33 black cars in the lot.