There are 1500 poultry on a farm. 40% are chickens, 2/3 of the ramainder are ducks and the rest are geese. What percentage of the poultry are geese?
so, 2/5 are chickens
2/3 of the remaining 3/5 is another 2/5, which are ducks
The remaining 1/5 are geese
That's 20%
To find the percentage of geese among the poultry, we need to first calculate the number of geese on the farm.
Step 1: Calculate the number of chickens.
40% of the poultry are chickens.
Number of chickens = 40% × 1500 = 0.40 × 1500 = 600
Step 2: Calculate the remainder after removing the chickens.
The remainder is the number of poultry minus the number of chickens.
Remainder = 1500 - 600 = 900
Step 3: Calculate the number of ducks.
2/3 of the remainder are ducks.
Number of ducks = (2/3) × 900 = 2/3 × 900 = 600
Step 4: Calculate the number of geese.
The number of geese is the remaining poultry after removing chickens and ducks.
Number of geese = Remainder - Number of ducks = 900 - 600 = 300
Step 5: Calculate the percentage of geese among the poultry.
Percentage of geese = (Number of geese ÷ Total poultry) × 100
Percentage of geese = (300 ÷ 1500) × 100 = 0.20 × 100 = 20%
Therefore, 20% of the poultry are geese.
To find the percentage of the poultry that are geese, we need to calculate the number of geese first. Let's break down the problem step by step:
1. Start with the total number of poultry on the farm – 1500.
2. Calculate the number of chickens: 40% of 1500 = (40/100) * 1500 = 600 chickens.
3. Subtract the number of chickens from the total to find the remainder: 1500 - 600 = 900.
4. Calculate the number of ducks: 2/3 of the remaining poultry = (2/3) * 900 = 600 ducks.
5. Subtract the number of ducks from the remainder to find the number of geese: 900 - 600 = 300 geese.
Now that we know there are 300 geese, we can calculate the percentage of geese out of the total poultry:
Percentage of geese = (number of geese / total number of poultry) * 100
= (300 / 1500) * 100
= 20%
Therefore, 20% of the poultry on the farm are geese.