Say you make the following assumptions:
1. Afarmer lives on 1 hen per day for a year.
(2.)1 hen eats 25 grasshoppers per day
(3.)1,000 grasshoppers have a mass of 1 kg
(4.) 1 grasshopper requires about 30g of soy beans per year
(5.) 1 human requires about 600 grasshoppers per day
(6.) Soy beans have 3.3 calories per gram
1. Calculate the # of grasshoppers a hen eat per day
2. How many grass are needed for a year's supply of hens for the farmer?
3. What is the total mass,in kg of the grasshoppers needed to feed all of the hens for 1 yr?
4.How many kilograms of soybeans are needed to feed all the grasshoppers for 1 yr?
5. Suppose the farmer chose to eat grasshoppers instead of hens. How many people could the grasshoppers feed, compared to the one person that the hen fed?
6. The farmer needs to consume 3,000 calories per day.If he ate only soybeans instead of the hens or grasshoppers how many people would his soybean crop feed?
#2. tells you the number of grasshoppers the hen eats a day.
#3. How many days in a year X numbers of grasshoppers.
Then take that information and answer the next question.
1. To calculate the number of grasshoppers a hen eats per day, we can use assumption 2. According to assumption 2, 1 hen eats 25 grasshoppers per day.
2. To calculate the number of grasshoppers needed for a year's supply of hens for the farmer, we need to multiply the number of grasshoppers a hen eats per day by the number of days in a year. As there are 365 days in a year, the calculation would be: 25 grasshoppers/day * 365 days = 9,125 grasshoppers.
3. To calculate the total mass of the grasshoppers needed to feed all of the hens for 1 year, we can use assumption 3. According to assumption 3, 1,000 grasshoppers have a mass of 1 kg. Therefore, the total mass of grasshoppers needed would be: 9,125 grasshoppers / 1,000 grasshoppers/kg = 9.125 kg.
4. To calculate the kilograms of soybeans needed to feed all the grasshoppers for 1 year, we can use assumption 4. According to assumption 4, 1 grasshopper requires about 30g of soybeans per year. Therefore, the kilograms of soybeans needed would be: (9,125 grasshoppers * 30g/grasshopper) / 1,000g/kg = 273.75 kg.
5. To determine how many people could be fed by the grasshoppers compared to the one person that the hen fed, we can use assumption 5. According to assumption 5, 1 human requires about 600 grasshoppers per day. Therefore, the calculation would be: 9,125 grasshoppers / 600 grasshoppers/person = approximately 15 people.
6. To calculate how many people the soybean crop would feed if the farmer consumed only soybeans instead of hens or grasshoppers, we need to convert calories to the number of people. According to assumption 6, soybeans have 3.3 calories per gram. Therefore, the calculation would be: 3,000 calories / (3.3 calories/g) = approximately 909.09 grams of soybeans. Since 1 person requires 600 grams of grasshoppers, the number of people the soybean crop would feed would be: 909.09 grams / 600 grams/person = approximately 1.52 people.
To solve these questions, we can follow these steps:
1. Calculate the number of grasshoppers a hen eats per day:
- According to assumption 2, one hen eats 25 grasshoppers per day.
2. Calculate the number of grasshoppers needed for a year's supply of hens for the farmer:
- Assuming a year has 365 days, multiply the number of grasshoppers a hen eats per day by 365.
3. Calculate the total mass, in kg, of the grasshoppers needed to feed all of the hens for 1 year:
- According to assumption 3, 1,000 grasshoppers have a mass of 1 kg. So, divide the number of grasshoppers needed for a year's supply (from step 2) by 1,000.
4. Calculate how many kilograms of soybeans are needed to feed all the grasshoppers for 1 year:
- According to assumption 4, 1 grasshopper requires about 30g of soybeans per year. So, multiply the number of grasshoppers needed for a year's supply (from step 2) by 30 and divide by 1,000 to convert grams to kilograms.
5. Calculate how many people the grasshoppers could feed, compared to the one person that the hen fed:
- According to assumption 5, one human requires about 600 grasshoppers per day. Divide the number of grasshoppers needed for a year's supply of hens (from step 2) by 600 to determine how many people it can feed.
6. Calculate how many people the soybean crop would feed if the farmer ate only soybeans instead of hens or grasshoppers:
- According to assumption 6, soybeans have 3.3 calories per gram. The farmer needs to consume 3,000 calories per day. Divide the total number of calories the farmer needs per year (3,000 calories per day multiplied by 365) by 3.3 calories per gram to find the total mass of soybeans needed. Then, divide the total mass by 1,000 to convert grams to kilograms and finally divide by 600 to determine how many people the soybean crop would feed.
By following these steps, you will be able to calculate the answers to the questions.