To determine how many days it will take Milly to sell 56 boxes, we need to set up a proportion based on the information given.
Milly sells 8 boxes in 3 days, so we can express this relationship as:
\[ \frac{8 \text{ boxes}}{3 \text{ days}} = \frac{56 \text{ boxes}}{x \text{ days}} \]
Here, \(x\) represents the number of days it will take her to sell 56 boxes.
Now we can solve for \(x\). Cross-multiplying gives us:
\[ 8x = 56 \times 3 \]
Calculating the right side:
\[ 56 \times 3 = 168 \]
So our equation becomes:
\[ 8x = 168 \]
Now, divide both sides by 8:
\[ x = \frac{168}{8} = 21 \]
Thus, it will take Milly 21 days to sell 56 boxes.
So the final answers to your questions are:
Proportion to use: \[ \frac{8 \text{ boxes}}{3 \text{ days}} = \frac{56 \text{ boxes}}{x \text{ days}} \]
Time to sell 56 boxes: 21 days.
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