To find out how many days it will take Nigel to sell 36 candy bars at a rate of 4 bars every 3 days, we can set up a proportion.
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First, find out how many candy bars he sells per day: \[ \text{Bars per day} = \frac{4 \text{ bars}}{3 \text{ days}} \approx 1.33 \text{ bars per day} \]
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Next, to find out how many days it takes him to sell 36 bars, use the formula: \[ \text{Days} = \frac{\text{Total bars}}{\text{Bars per day}} \] Substituting in the values: \[ \text{Days} = \frac{36 \text{ bars}}{\frac{4}{3} \text{ bars per day}} = 36 \times \frac{3}{4} = 27 \text{ days} \]
So, it will take Nigel 27 days to sell all 36 candy bars.