If one package of food is enough for a dog for 7 days, what is the smallest number of packages needed? - briefly
To determine the minimum number of food packages required for a dog, consider that each package lasts for 7 days. Therefore, the smallest number of packages needed would be one per week.
If one package of food is enough for a dog for 7 days, what is the smallest number of packages needed? - in detail
If one package of food is sufficient to feed a dog for 7 days, determining the minimum number of packages required involves a straightforward calculation. To ensure continuous feeding without any gaps or shortages, we need to consider the total duration for which the food supply is needed.
Firstly, let's define the period over which the food needs to be provided. Suppose the dog owner plans to feed the dog for 30 days. This is a common scenario where pet owners stock up on food for a month.
Given that one package covers 7 days, we can calculate the number of packages needed by dividing the total duration by the number of days each package provides:
[ \text{Number of packages} = \frac{\text{Total duration}}{\text{Days per package}} ]
Substituting the values:
[ \text{Number of packages} = \frac{30}{7} ]
Performing the division, we get:
[ \text{Number of packages} \approx 4.29 ]
Since we cannot purchase a fraction of a package, we must round up to ensure there is enough food for the entire period. Therefore, the dog owner will need to buy 5 packages to cover the 30-day feeding plan.
In conclusion, when planning to feed a dog for an extended period using packages that each last 7 days, it is essential to perform this calculation and round up to the nearest whole number to ensure there is no shortage of food.