Answer:
\(\textbf{9 cup of trail mix require }\frac{3}{2}\textbf{ cups of almonds}\)
Step-by-step explanation:
\(\text{Megan uses }\frac{2}{3}\text{ cups of almonds to make 4 cups of trial mix}\)
Also, we need to calculate the number of cups of almonds needed to make 9 cups trail mix.
\(\text{4 cups of trail mix require }\frac{2}{3}\text{ cups of almonds}\\\\\implies \text{1 cup of trail mix require }\frac{\frac{2}{3}}{4}\text{ cups of almonds}\\\\ \implies \text{1 cup of trail mix require }\frac{2}{12}\text{ cups of almonds}\\\\ \implies \text{1 cup of trail mix require }\frac{1}{6}\text{ cups of almonds}\\\\ \implies \text{9 cup of trail mix require }\frac{1}{6}\times 9\text{ cups of almonds} \\\\ \implies\bf \textbf{9 cup of trail mix require }\frac{3}{2}\textbf{ cups of almonds}\)
