Certainly! Let's break this problem down step-by-step to see how many boxes Melanie can move for every box that Sofia moves.
1. Identify the Given Information:
- Sofia can move 11 boxes.
- Melanie can move 22 boxes.
2. Set Up the Ratio:
- The ratio we are interested in is how many boxes Melanie can move for each box that Sofia moves.
3. Calculate the Ratio:
- The given numbers tell us that for each 11 boxes that Sofia moves, Melanie can move 22 boxes.
- To find out how many boxes Melanie can move for each single box that Sofia moves, we divide the number of boxes Melanie can move by the number of boxes Sofia can move:
[tex]\[
\text{Ratio} = \frac{\text{Boxes Melanie moves}}{\text{Boxes Sofia moves}} = \frac{22}{11}
\][/tex]
4. Simplify the Ratio:
- Simplifying [tex]\(\frac{22}{11}\)[/tex] gives us:
[tex]\[
\frac{22}{11} = 2
\][/tex]
5. Conclusion:
- Therefore, Melanie can move 2 boxes for every 1 box that Sofia moves.
So, the missing value is that Melanie can move 2 boxes for every 1 box that Sofia moves.
