Question

Milly is selling Girl scout cookies. She sells 8 boxes every 3 days. how many days will it take her to sell 56 boxes?
determine the proportion to use to solve this problem

blank/blank=blank/56 boxes

x boxes 56 days 56 boxes 8 boxes 3 days x days

Answer 1

To solve this problem proportionally, let's set up the proportion based on what we know. Milly sells 8 boxes every 3 days. We want to determine how many days (x) it will take her to sell 56 boxes.

We can set up the proportion like this:

\[
\frac{8 \text{ boxes}}{3 \text{ days}} = \frac{56 \text{ boxes}}{x \text{ days}}
\]

This means that:

- 8 boxes corresponds to 3 days,
- 56 boxes corresponds to \(x\) days.

Here’s the correct form of the proportion you asked for:

**8 boxes / 3 days = 56 boxes / x days**

Now, to solve for \(x\):

1. Cross-multiply:
\(8 \cdot x = 56 \cdot 3\)

2. Calculate the right side:
\(56 \cdot 3 = 168\)

3. So, the equation now is:
\(8x = 168\)

4. Divide both sides by 8:
\(x = \frac{168}{8} = 21\)

Therefore, Milly will take **21 days** to sell 56 boxes of Girl Scout cookies.