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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?

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Answer:

Roderick has created the correct orange color.

Step-by-step explanation:

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


\operatorname{Re}d\colon\text{Yellow}=5\colon7

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


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

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

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