Question

In a car carpark, the ratio of red cars to green car is 5:6, while that of green cars to Blue is 3:10. Find the ratio of red cars to green cars to Blue cars in its simplest form

Answer 1

The ratio of red cars, green cars and blue cars is $\boxed{\bf 5:6:20}$.

Further explanation:

The ratio of red car to the green cars in a car parking is $5:6$.

Consider $C_{r}$ as the number of red cars and $C_{g}$ as the number of green cars.

The ratio of red car to the green cars can be expressed as follows:

$\boxed{C_{r}:C_{g}=5:6}$  

The ratio $C_{r}:C_{g}=5:6$ can also be written as follows:

$\begin{aligned}\dfrac{C_{r}}{C_{g}}&=\dfrac{5}{6}\\C_{r}&=\dfrac{5}{6}C_{g}\end{aligned}$  

The ratio of green cars to the blue cars is $3:10$.

Consider $C_{b}$ as the number of blue cars.

The ratio of green cars to the blue cars can be expressed as follows:

$\boxed{C_{g}:C_{b}=3:10}$  

The ratio $C_{g}:C_{b}=3:10$ can also be written as follows:

$\begin{aligned}\dfrac{C_{g}}{C_{b}}&=\dfrac{3}{10}\\C_{g}&=\dfrac{3}{10}C_{b}\end{aligned}$

The ratio of red cars, green cars and blue cars can be expresses as $\boxed{C_{r}:C_{g}:C_{b}}$.

Substitute $C_{r}=\frac{5}{6}C_{g}$ and $C_{b}=\frac{10}{3}C_{g}$ in the ratio $C_{r}:C_{g}:C_{b}$ as follows:

$\begin{aligned}C_{r}:C_{g}:C_{b}&=\dfrac{5}{6}C_{g}:C_{g}:\dfrac{10}{3}C_{g}\\&=\dfrac{5}{6}:1:\dfrac{10}{3}\\&=5:6:(2\cdot 10)\\&=5:6:20\end{aligned}$  

The ratio of red cars, green cars and blue cars is $5:6:20$.

Thus, the ratio of red cars, green cars and blue cars is $\boxed{\bf 5:6:20}$.

Learn more:

1. Learn more about problem on numbers: brainly.com/question/1852063

2. Learn more about problem on function brainly.com/question/3225044

Answer details:

Grade: Middle school

Subject: Mathematics

Chapter: Ratio and proportion

Keywords: Ratio, green cars, red cars, blue cars, car parking, proportion, ratio proportion, 3:10, 5:6, carpark, ratio of red cars to green cars, ratio of green cars to blue cars.

Answer 2

ratio of red cars to green car is 
     5
--------
     6

ratio of green cars to blue car is 
    3            6
-------- = --------
   10           20

Answer: the ratio of red cars to green cars to Blue cars

 5 :6: 20