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)

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 hour ago

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.