Question

In a certain apartment complex, all 120 residents own cars. If there are only four colors of cars, and the ratio of red to blue to green to yellow cars is 5 : 6 : 3 : 1, how many cars of each color are there?

Answer 1

To determine the number of cars of each color, use the given ratios and solve for the variables representing each color. The equation can be set up and solved to find the values of the variables, resulting in the number of cars for each color in the apartment complex.

Step-by-step explanation:

To determine the number of cars of each color, we first need to find the total number of cars of each color based on the given ratios.

Let's assign variables to represent the number of cars of each color:

Red cars: 5x

Blue cars: 6x

Green cars: 3x

Yellow cars: x

Since the total number of residents is 120, the sum of the cars of each color should equal 120.

Therefore, we can set up the equation: 5x + 6x + 3x + x = 120

Combining like terms, we have: 15x = 120

Dividing both sides of the equation by 15, we find: x = 8

Substituting the value of x back into our variables, we find:

Red cars: 5(8) = 40

Blue cars: 6(8) = 48

Green cars: 3(8) = 24

Yellow cars: 8

Therefore, there are 40 red cars, 48 blue cars, 24 green cars, and 8 yellow cars in the apartment complex.

Answer 2

Step-by-step explanation:

5x + 6x + 3x + x = 120

15x = 120

x = 8

5x red = 40 red cars

6x blue = 48 blue cars

3x green = 24 green cars

1x (or simply x ) yellow = 8 yellow cars

Check

40 + 48 + 24 + 8

88 + 32

=120

hope this helps