The ratio of Nitrogen to Phosphorus in a bag of lawn fertilizer is 5 pounds of Nitrogen to 2 pounds of Phosphorus. What is the total number of pounds of Nitrogen in 4 bags of lawn fertilizer?
7
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20
To find the total number of pounds of Nitrogen in 4 bags of lawn fertilizer, we need to find the total amount of Nitrogen in one bag and then multiply it by 4.
The ratio of Nitrogen to Phosphorus in one bag is 5 pounds of Nitrogen to 2 pounds of Phosphorus.
Therefore, the ratio can be written as:
5 pounds of Nitrogen : 2 pounds of Phosphorus
To find the fraction of Nitrogen in one bag, we need to divide the number of pounds of Nitrogen by the total number of pounds in the ratio:
5 pounds of Nitrogen / (5 pounds of Nitrogen + 2 pounds of Phosphorus) = 5 / (5 + 2) = 5/7
The fraction of Nitrogen in one bag is 5/7.
Now, to find the total number of pounds of Nitrogen in 4 bags, we need to multiply the fraction of Nitrogen in one bag by the total number of bags:
(5/7) * 4 bags = 20/7 bags = 2.857 bags
Since we cannot have a fraction of a bag, we need to round down to the nearest whole number.
Therefore, the total number of pounds of Nitrogen in 4 bags of lawn fertilizer is 2 bags.
So, the correct answer is 20 pounds.
To find the total number of pounds of Nitrogen in 4 bags of lawn fertilizer, you need to calculate the total amount of Nitrogen in one bag and then multiply it by the number of bags.
Given that the ratio of Nitrogen to Phosphorus is 5 pounds of Nitrogen to 2 pounds of Phosphorus, we can conclude that the bag of fertilizer contains a total of 5 + 2 = 7 pounds.
Next, you multiply the total amount of Nitrogen in one bag (7 pounds) by the number of bags (4):
7 pounds/bag * 4 bags = 28 pounds.
Therefore, the total number of pounds of Nitrogen in 4 bags of lawn fertilizer is 28 pounds.
So, the correct answer is 28.