How many packages of food does a dog need for 45 days if one package lasts for 7 days? - briefly
To determine the number of food packages required for a dog over 45 days, it is essential to understand the duration for which one package lasts. Given that one package of dog food lasts for 7 days, the calculation is straightforward. Dividing the total number of days by the duration one package lasts provides the necessary quantity.
A dog will need 6.43 packages of food for 45 days if one package lasts for 7 days. It is advisable to round up to ensure an adequate supply, resulting in a requirement of 7 packages.
How many packages of food does a dog need for 45 days if one package lasts for 7 days? - in detail
To determine the number of food packages a dog will need for 45 days, given that one package lasts for 7 days, it is essential to perform a straightforward calculation based on the duration and the lifespan of each package.
Firstly, establish the total number of days for which the food supply is required. In this scenario, the total duration is 45 days. Next, identify the duration for which one package of food is sufficient. According to the given data, one package lasts for 7 days.
To find out how many packages are needed, divide the total number of days by the number of days one package lasts. This can be expressed mathematically as:
[ \text{Number of packages} = \frac{\text{Total days}}{\text{Days per package}} ]
Substituting the given values:
[ \text{Number of packages} = \frac{45 \text{ days}}{7 \text{ days per package}} ]
Performing the division:
[ \text{Number of packages} = 6.42857 ]
Since it is not practical to purchase a fraction of a package, it is necessary to round up to the nearest whole number. Therefore, the dog will need 7 packages of food to cover a 45-day period. This ensures that there is enough food to last the entire duration without running out.
In summary, to provide a dog with food for 45 days, given that one package lasts for 7 days, you will need to purchase 7 packages. This calculation accounts for the total duration and the lifespan of each package, ensuring that the dog has an adequate supply of food for the specified period.