Question

Question
Nigel is selling candy bars for his outdoor club. He is averaging 4 bars every 3 days. If he continues at this rate, how many days will it take to sell his box of 36? Your answer should be a whole number.(1 point)

Answer 1

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:

1. **Calculate his rate of selling**:
- At the rate of 4 bars every 3 days, we can find how many bars he sells per day:
\[
\text{Rate per day} = \frac{4 \text{ bars}}{3 \text{ days}} = \frac{4}{3} \text{ bars per day}
\]

2. **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:
\[
36 = \frac{4}{3} \times d
\]

3. **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.