The ratio of cars to vans in a parking lot was 5 to 2. There were 28 cars and vans in the parking lot. How many cars were in the parking lot? How many vans were in the parking lot?

Let x = number of cars

5/7 = x/28

7x = 140

x = 20

52

To find the number of cars in the parking lot, we need to calculate the part of the whole that represents the ratio of cars to the total number of vehicles.

First, we add the numbers in the ratio, 5 + 2, which equals 7.

Next, we can find the fraction that represents the ratio of cars to the total number of vehicles. We divide the number of cars, 28, by the sum of the numbers in the ratio, 7:

28 / 7 = 4

This means that each part of the ratio represents 4 vehicles.

Since there are 5 parts representing cars in the ratio, we can multiply the number of parts by the value of each part to find the number of cars:

5 * 4 = 20

Therefore, there are 20 cars in the parking lot.

To find the number of vans, we can follow a similar process.

Since there are 2 parts representing vans in the ratio, we can multiply the number of parts by the value of each part to find the number of vans:

2 * 4 = 8

Therefore, there are 8 vans in the parking lot.

In summary, there are 20 cars and 8 vans in the parking lot.