Respuesta :
[tex]\bf \begin{array}{ccllll}
chemical(oz)&water(gallon)\\
\textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash\\
2\frac{3}{4}&1\\\\
x&4\frac{3}{5}
\end{array}\implies \cfrac{2\frac{3}{4}}{x}=\cfrac{1}{4\frac{3}{5}}
\\\\
-----------------------------\\\\
[/tex]
[tex]\bf now\qquad \begin{cases} 2\frac{3}{4}\implies \cfrac{11}{4}\\\\ 4\frac{3}{5}\implies \cfrac{23}{5} \end{cases}\qquad and\qquad \cfrac{\frac{a}{b}}{\frac{c}{{{ d}}}}\implies \cfrac{a}{b}\cdot \cfrac{{{ d}}}{c}\\\\ -----------------------------\\\\ \cfrac{2\frac{3}{4}}{x}=\cfrac{1}{4\frac{3}{5}}\implies \cfrac{\frac{11}{4}}{x}=\cfrac{1}{\frac{23}{5}}\implies \cfrac{\frac{11}{4}}{\frac{x}{1}}=\cfrac{\frac{1}{1}}{\frac{23}{5}} \\\\\\ [/tex]
[tex]\bf \cfrac{11}{4}\cdot \cfrac{1}{x}=\cfrac{1}{1}\cdot \cfrac{5}{23}\implies \cfrac{11}{4x}=\cfrac{5}{23}[/tex]
solve for "x"
[tex]\bf now\qquad \begin{cases} 2\frac{3}{4}\implies \cfrac{11}{4}\\\\ 4\frac{3}{5}\implies \cfrac{23}{5} \end{cases}\qquad and\qquad \cfrac{\frac{a}{b}}{\frac{c}{{{ d}}}}\implies \cfrac{a}{b}\cdot \cfrac{{{ d}}}{c}\\\\ -----------------------------\\\\ \cfrac{2\frac{3}{4}}{x}=\cfrac{1}{4\frac{3}{5}}\implies \cfrac{\frac{11}{4}}{x}=\cfrac{1}{\frac{23}{5}}\implies \cfrac{\frac{11}{4}}{\frac{x}{1}}=\cfrac{\frac{1}{1}}{\frac{23}{5}} \\\\\\ [/tex]
[tex]\bf \cfrac{11}{4}\cdot \cfrac{1}{x}=\cfrac{1}{1}\cdot \cfrac{5}{23}\implies \cfrac{11}{4x}=\cfrac{5}{23}[/tex]
solve for "x"
