Questions: Orly uses 2 cups of raisins for every 9 cups of trail mix she makes. How many cups of trail mix will she make if she uses 12 cups of raisins?
1 1/2 cups
9 cups
2 2/3 cups
54 cups
Transcript text: Orly uses 2 cups of raisins for every 9 cups of trail mix she makes. How many cups of trail mix will she make if she uses 12 cups of raisins?
$1 \frac{1}{2}$ cups
9 cups
$2 \frac{2}{3}$ cups
54 cups
Solution
Solution Steps
Step 1: Calculate the Ratio
To find the ratio of raisins to trail mix, we divide the Trail Mix Ratio (9) by the Raisin Ratio (2).
\[ \text{Ratio} = \frac{9}{2} = 4.5 \]
Step 2: Determine Trail Mix Quantity
To find out how many cups of trail mix Orly will make with 12 cups of raisins, we multiply the Ratio by the Raisins Used.
\[ \text{Trail Mix Made} = \text{Ratio} \times 12 = 54 \]
Final Answer:
Orly will make 54 cups of trail mix using 12 cups of raisins.