Ratios can be said to be proportional if they represent the same relationship.
To confirm if two ratios are proportional, simplify both ratios, if the simplified ratios turns out to be the same, the ratios represent quantities that are proortional.
Let's simplify the given ratios below:
[tex]\begin{gathered} A\text{. }\frac{40}{52}\text{ and }\frac{18}{24}=\text{ }0.77\text{ and }0.75 \\ \\ \text{This does not represent quantities that are proportional} \end{gathered}[/tex][tex]\begin{gathered} B\text{. }\frac{36}{60}\text{ and }\frac{15}{25}\text{ = }0.6\text{ and 0.6} \\ \\ \text{Both ratios represent quantities that are proportional} \end{gathered}[/tex][tex]\begin{gathered} C\text{. }\frac{32}{20}and\text{ }\frac{20}{32}=1.6\text{ and 0.625} \\ \\ \text{This does not repr}esent\text{ quantities that are proportional} \end{gathered}[/tex][tex]\begin{gathered} D\text{. }\frac{7}{5}and\text{ }\frac{14}{9}=1.4\text{ and 1.56} \\ \\ \text{This does not represent quantitites that are proportional} \end{gathered}[/tex]
Therefore, from the ratios given, the two ratios that represent quantities that are proportional are:
[tex]B\text{.}\frac{36}{60}\text{ and }\frac{15}{25}[/tex]
ANSWER:
[tex]B\text{. }\frac{36}{60}\text{ AND }\frac{15}{25}[/tex]
