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NSW Y8 Maths

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NSW Y8 Maths Rates and Ratios Equivalent Ratios

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Equivalent Ratios Theory

\begin{multicols}{2} \textbf{Example 1}\\ Complete the ratio \(4: 3=x: 9\)\\ \textbf{Example 1 solution}\\ \(\begin{aligned} \frac{3}{3}\times \frac{4}{3} & =\frac{x}{9} \\ \frac{12}{9} & =\frac{x}{9} \Rightarrow x=12 \\ \therefore 4: 3 & =12: 9 \end{aligned}\) \columnbreak \textbf{Example 2}\\ Find the values of \(x\) and \(y\) if \(4: 3: 7=2: x: y\)\\ \textbf{Example 2 solution}\\ \(\begin{aligned} 4: 3: 7 & =\frac{4}{2}: \frac{3}{2}: \frac{7}{2} \\ & =2:1.5: 3.5 \\ \therefore x =1.5 &\text { and } y=3.5 . \end{aligned}\) \end{multicols}

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  • Equivalent Ratios - Video - Equivalent Ratios 1

  • Equivalent Ratios - Video - Equivalent Ratios 2

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