A certain orange colour requires mixing 5 parts of red paint with 7 parts of yellow paint.Roderick mixed 15 parts of red paint with 21 parts of yellow paint. Did he create the correct orange colour?

Respuesta :

Answer:

Roderick has created the correct orange color.

Explanation:

The orange color required mixing 5 parts of red paint with 7 parts of yellow paint. The ratio is given below:

[tex]\operatorname{Re}d\colon\text{Yellow}=5\colon7[/tex]

Roderick mixed 15 parts of red paint with 21 parts of yellow paint. This is expressed in ratio as:

[tex]\begin{gathered} \operatorname{Re}d\colon\text{Yellow}=15\colon21 \\ \text{Divide both sides by 3} \\ \frac{15}{3}\colon\frac{21}{3}=5\colon7 \end{gathered}[/tex]

Since the two ratios reduces to the same value, they are equivalent, thus Roderick has created the correct orange color.