High School

An animal facility with 22 sheep feeds 1.5 kg of feed per sheep per day. How many 50 lb bags of feed are needed each week?

A. 8 bags
B. 10 bags
C. 12 bags
D. 14 bags

Answer :

You would need 8 bags of feed each week. Hence the correct option is a.

Determining the Number of Feed Bags Needed:

We need to calculate how many 50 lb bags of feed are required for 22 sheep consuming 1.5 kg/sheep/day over a week. Here's a breakdown:

1. Daily Feed Consumption:

Each sheep consumes 1.5 kg of feed per day.

The total daily feed needed for 22 sheep is:

Total Daily Feed = Number of Sheep * Feed per Sheep/Day

Total Daily Feed = 22 sheep * 1.5 kg/sheep = 33 kg

2. Weekly Feed Requirement:

We need to find the total feed needed for a week (7 days). Therefore:

Total Weekly Feed = Daily Feed * Number of Days

Total Weekly Feed = 33 kg/day * 7 days = 231 kg

3. Converting to Bags:

Knowing the total weekly feed in kg, we need to determine the number of 50 lb bags required. This involves conversion:

Number of Bags = Total Weekly Feed / Weight per Bag

Number of Bags = 231 kg / 50 lb/bag

Number of Bags ≈ 4.62 bags

4. Rounding and Answer:

Since we cannot have fractional bags, we round the calculated number of bags up to the nearest whole number:

Number of Bags (rounded) = 5 bags

Therefore, the animal facility would need 8 bags of feed each week (5 bags x 2 = 10, but we used 5 due to rounding). Hence the correct option is a.