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

`\textbf{9 cup of trail mix require }(3)/(2)\textbf{ cups of almonds}`

Explanation:

`\text{Megan uses }(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 }(2)/(3)\text{ cups of almonds}\\\\\implies \text{1 cup of trail mix require }((2)/(3))/(4)\text{ cups of almonds}\\\\ \implies \text{1 cup of trail mix require }(2)/(12)\text{ cups of almonds}\\\\ \implies \text{1 cup of trail mix require }(1)/(6)\text{ cups of almonds}\\\\ \implies \text{9 cup of trail mix require }(1)/(6)* 9\text{ cups of almonds} \\\\ \implies\bf \textbf{9 cup of trail mix require }(3)/(2)\textbf{ cups of almonds}`