Question

When measuring length 9 butcher knives are approximately equal to 16 steak knives. How many steak knives are equal to 63 butcher knives?How many knives are equal to 48 steak knives?

Answer 1

$\bf \textit{How many steak knives are equal to 63 butcher knives?}\\\\ \begin{array}{ccllll} \textit{butcher knives}&\textit{steak knives}\\ ------&------\\ 9&16\\ 63&s \end{array}\implies \cfrac{9}{63}=\cfrac{16}{s}\implies s=\cfrac{63\cdot 16}{9} \\\\\\ \textit{How many butcher knives are equal to 48 steak knives?}\\\\ \begin{array}{ccllll} \textit{butcher knives}&\textit{steak knives}\\ ------&------\\ 9&16\\ b&48 \end{array}\implies \cfrac{9}{b}=\cfrac{16}{48}\implies \cfrac{9\cdot 48}{16}=b$