To find out how many days it will take Nigel to sell his box of 36 candy bars at his current rate of 4 bars every 3 days, we can set up the problem as follows:
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Calculate his rate of selling:
- At the rate of 4 bars every 3 days, we can find how many bars he sells per day: \[ \text{Rate per day} = \frac{4 \text{ bars}}{3 \text{ days}} = \frac{4}{3} \text{ bars per day} \]
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Determine how many days it takes to sell 36 bars:
- We need to find out how many days \(d\) it will take to sell 36 bars, using the formula for total sales: \[ \text{Total bars sold} = \text{Rate per day} \times \text{Number of days} \] In this case, we can set up the equation: \[ 36 = \frac{4}{3} \times d \]
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Solve for \(d\):
- To solve for \(d\), we can multiply both sides by \(3\) to eliminate the fraction: \[ 36 \times 3 = 4 \times d \] \[ 108 = 4d \]
- Now, divide both sides by \(4\): \[ d = \frac{108}{4} = 27 \]
Therefore, it will take Nigel 27 days to sell his box of 36 candy bars.