Question

Megan uses 2/3 cups of almonds to make 4 cups of trail mix. Using the same ratio, how many cups of almonds would megan need to make 9 cups of trail mix?

Answer 1

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.

$\text{4 cups of trail mix require }\frac{2}{3}\text{ cups of almonds}\\\\\implies \text{1 cup of trail mix require }\frac{\frac{2}{3}}{4}\text{ cups of almonds}\\\\ \implies \text{1 cup of trail mix require }\frac{2}{12}\text{ cups of almonds}\\\\ \implies \text{1 cup of trail mix require }\frac{1}{6}\text{ cups of almonds}\\\\ \implies \text{9 cup of trail mix require }\frac{1}{6}\times 9\text{ cups of almonds} \\\\ \implies\bf \textbf{9 cup of trail mix require }\frac{3}{2}\textbf{ cups of almonds}$

Answer 2

1 and 1/2 
9 divided by 4 = 2.25
2.25x2/3=1 1/2