Steve runs a kennel and purchases dog food from a U.S supplier. The supplier sells 25 lb bags for $28.95 U.S
Each dog eats about 3.5kg/week and Steve boards an average of 16 dogs per day. How many bags of dog food will he need for 3 months?
The answer is 64 bags but I keep getting 59 help!
you might show your work, so we could check your method.
each dogs eats 3.5/7 = 0.5 kg/day
16 dogs eat 8 kg/day
That's 720 kg for 90 days
Or, 1584 lbs.
That's 63.36 bags
I guess it depends on how many days you use for 3 months. 91 days gives 64.06 bags
To calculate the number of bags of dog food needed for 3 months, we need to determine the total amount of dog food required for that period.
First, we need to convert the weekly consumption from kilograms to pounds since the supplier sells bags in pounds.
1 kilogram is approximately 2.205 pounds. So, 3.5 kg is equal to 3.5 * 2.205 = 7.7175 pounds per week.
Now, we need to calculate the total amount of dog food required for 3 months, which is equivalent to 12 weeks:
Total amount of dog food per week: 7.7175 pounds/week * 16 dogs = 123.48 pounds/week.
Total amount of dog food for 12 weeks: 123.48 pounds/week * 12 weeks = 1481.76 pounds.
Next, we need to calculate the number of bags required. We know that 1 bag contains 25 pounds.
Number of bags required: 1481.76 pounds / 25 pounds/bag = 59.2672 bags.
Since we can't buy a fraction of a bag, we need to round up to the nearest whole number of bags.
Therefore, Steve will need 59 bags (rounded up) of dog food for 3 months.
To calculate the number of bags of dog food Steve will need for 3 months, we need to determine the total amount of dog food required for that period and then divide it by the weight of each bag.
Let's break down the steps:
1. Convert the weekly consumption from kilograms to pounds:
- Given: Each dog eats about 3.5 kg/week
- Conversion: 1 kilogram (kg) = 2.20462 pounds (lb)
- Calculation: 3.5 kg/week * 2.20462 lb/kg = 7.716 lbs/week
2. Calculate the total weekly consumption for all the dogs:
- Given: Steve boards an average of 16 dogs per day
- Calculation: 7.716 lbs/week * 16 dogs/day * 7 days/week = 864.384 lbs/week
3. Determine the total amount of dog food required for 3 months:
- Given: 1 month = 4 weeks
- Calculation: 864.384 lbs/week * 4 weeks/month * 3 months = 10,372.608 lbs
4. Find the number of bags of dog food required:
- Given: Each bag weighs 25 lbs
- Calculation: 10,372.608 lbs / 25 lbs/bag = 414.90432 bags
Now, since we cannot have a fraction of a bag, we need to round up to the nearest whole number.
Therefore, Steve will need 415 bags of dog food for 3 months, not 64 bags as mentioned in the previous response.
I apologize for the incorrect information provided earlier.