To find out how many days it will take Nigel to sell his box of 36 candy bars at an average rate of 4 bars every 3 days, we can set up a proportion.
First, we calculate how many bars he sells per day:
\[ \text{Rate} = \frac{4 \text{ bars}}{3 \text{ days}} = \frac{4}{3} \text{ bars per day} \]
Next, we want to find out how many days it will take to sell 36 bars. Let \( d \) be the number of days needed:
\[ \frac{4}{3} \times d = 36 \]
To solve for \( d \), we can rearrange the equation:
\[ d = \frac{36 \times 3}{4} \]
Calculating this gives:
\[ d = \frac{108}{4} = 27 \]
Thus, it will take Nigel 27 days to sell his box of 36 candy bars.
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