In a parking lot 25% of the cars are SUV'S. 2/5 of the cars are pick-up trucks. The rest of the cars are sedans. There are 21 sedans. How many cars are in the parking lot?

60 cars

Step-by-step explanation:

Step 1

We have to find the fraction of cars that represents sedans

In a parking lot 25% of the cars are SUV'S. = 25/100 = 1/4

2/5 of the cars are pick-up trucks.

The rest are sedans

Let the total number of cars = 1

Hence:

Fraction of cars representing Sedans =

1 - (1/4 + 2/5)

Lowest Common Denominator = 20

1 -( 5 + 8/20)

1 - 13/20

= 7/20

Hence, the fraction of cars representing Sedans = 7/20

Step 2

Let the total number of cars = x

We are told that: There are 21 sedans

Hence,

7/20 × x = 21

7x/20 = 21

Cross Multiply

7x = 20 × 21

x = 20 × 21/7

x = 60 cars

Therefore, the total number of cars in the parking lot = 60 cars

5.5

step-by-step explanation: