The ratio of red cars, green cars and blue cars is [tex]\boxed{\bf 5:6:20}[/tex].
Further explanation:
The ratio of red car to the green cars in a car parking is [tex]5:6[/tex].
Consider [tex]C_{r}[/tex] as the number of red cars and [tex]C_{g}[/tex] as the number of green cars.
The ratio of red car to the green cars can be expressed as follows:
[tex]\boxed{C_{r}:C_{g}=5:6}[/tex]
The ratio [tex]C_{r}:C_{g}=5:6[/tex] can also be written as follows:
[tex]\begin{aligned}\dfrac{C_{r}}{C_{g}}&=\dfrac{5}{6}\\C_{r}&=\dfrac{5}{6}C_{g}\end{aligned}[/tex]
The ratio of green cars to the blue cars is [tex]3:10[/tex].
Consider [tex]C_{b}[/tex] as the number of blue cars.
The ratio of green cars to the blue cars can be expressed as follows:
[tex]\boxed{C_{g}:C_{b}=3:10}[/tex]
The ratio [tex]C_{g}:C_{b}=3:10[/tex] can also be written as follows:
[tex]\begin{aligned}\dfrac{C_{g}}{C_{b}}&=\dfrac{3}{10}\\C_{g}&=\dfrac{3}{10}C_{b}\end{aligned}[/tex]
The ratio of red cars, green cars and blue cars can be expresses as [tex]\boxed{C_{r}:C_{g}:C_{b}}[/tex].
Substitute [tex]C_{r}=\frac{5}{6}C_{g}[/tex] and [tex]C_{b}=\frac{10}{3}C_{g}[/tex] in the ratio [tex]C_{r}:C_{g}:C_{b}[/tex] as follows:
[tex]\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}[/tex]
The ratio of red cars, green cars and blue cars is [tex]5:6:20[/tex].
Thus, the ratio of red cars, green cars and blue cars is [tex]\boxed{\bf 5:6:20}[/tex].
Learn more:
1. Learn more about problem on numbers: https://brainly.com/question/1852063
2. Learn more about problem on function https://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.
