If I take 1 hour to cook a batch of cookies and the cookie monster has 15 ovens working 24 hours a day every day for 5 years, how long does it take the cookie monster to make 6000000 batches of cookies

To determine how long it takes the Cookie Monster to make 6,000,000 batches of cookies with 15 ovens working continuously for 5 years, we first need to find out how many batches can be produced in that time. 1. **Calculate the total time in hours over 5 years:** - There are 24 hours in a day and 365 days in a year, so: \[ 5 \text{ years} = 5 \times 365 \times 24 \text{ hours} = 43,800 \text{ hours} \] 2. **Calculate how many batches of cookies can be made by one oven in that time:** - If it takes 1 hour to cook a batch of cookies, then one oven can make: \[ 43,800 \text{ hours} = 43,800 \text{ batches} \] 3. **Calculate how many batches can be made by 15 ovens in 5 years:** \[ 15 \text{ ovens} \times 43,800 \text{ batches/oven} = 657,000 \text{ batches in total} \] 4. **Determine the number of batches Cookie Monster needs to make:** - The Cookie Monster wants to make 6,000,000 batches; thus, we can find out how many times the total batch capacity of the 15 ovens needs to be done: \[ \text{Number of periods} = \frac{6,000,000 \text{ batches}}{657,000 \text{ batches}} \approx 9.14 \] This means that the Cookie Monster needs to operate for about 9.14 periods of 5 years to make 6,000,000 batches. 5. **Calculate the total time:** - Since each period is 5 years: \[ \text{Total time needed} = 9.14 \times 5 \text{ years} = 45.7 \text{ years} \] In conclusion, it will take the Cookie Monster approximately **45.7 years** to produce 6,000,000 batches of cookies using 15 ovens continuously for 5 years.