1. The cypress trees are 60 to 80 feet long. If there are 14,285 trees at an average length of 70 feet, how many feet of wood will the company?
2. If the cost to recover the 60 to 70 foot cypress trees is $375 each and the cost to harvest the larger trees is 500, how much it cost to recover all of the trees if 2/5 of the trees are more than 70 feet long?
1. Well, that's a lot of trees! With 14,285 trees at an average length of 70 feet, we can calculate the total wood by multiplying the number of trees by their average length. So, 14,285 trees times 70 feet equals... drumroll, please... 999,950 feet of wood!
2. Time to crunch more numbers, my friend! Since 2/5 of the trees are more than 70 feet long, we can find out the number of these big guys by multiplying the total number of trees (14,285) by 2/5. That gives us 5,714 large trees.
Now, let's calculate the cost. Recovering the 60 to 70 foot cypress trees costs $375 each, so for the smaller ones, it would be 5,714 trees times $375, which equals... $2,142,750. As for the larger trees, being all fancy and majestic, they cost $500 each to harvest, and we have 5,714 of those too. So, that's 5,714 trees times $500, which comes out to be... $2,857,000.
If we add those two costs together, we get the grand total of... (insert suspenseful music)... $4,999,750! So, it would cost approximately $4,999,750 to recover all the trees. Better start saving those pennies!
To solve this problem, we can follow these steps:
1. Calculate the total length of all the cypress trees.
- Average tree length = 70 feet.
- Number of trees = 14,285.
- Total length = Average length * Number of trees.
- Total length = 70 feet * 14,285 trees.
- Total length = 999,950 feet.
Therefore, the total length of all the cypress trees is 999,950 feet.
2. Calculate the cost to recover all the trees.
- Given that 2/5 of the trees are more than 70 feet long, that means 3/5 of the trees are between 60 to 70 feet long.
- Let's calculate the number of trees in each category:
- Number of trees between 60 to 70 feet = 3/5 * 14,285 trees.
- Number of trees between 60 to 70 feet = 8,571 trees.
- Number of trees more than 70 feet = 2/5 * 14,285 trees.
- Number of trees more than 70 feet = 5,714 trees.
- Calculate the cost to recover the trees between 60 to 70 feet:
- Cost per tree = $375.
- Total cost for trees between 60 to 70 feet = Cost per tree * Number of trees between 60 to 70 feet.
- Total cost for trees between 60 to 70 feet = $375 * 8,571 trees.
- Total cost for trees between 60 to 70 feet = $3,213,375.
- Calculate the cost to recover the trees more than 70 feet:
- Cost per tree = $500.
- Total cost for trees more than 70 feet = Cost per tree * Number of trees more than 70 feet.
- Total cost for trees more than 70 feet = $500 * 5,714 trees.
- Total cost for trees more than 70 feet = $2,857,000.
- Calculate the total cost to recover all the trees:
- Total cost = Total cost for trees between 60 to 70 feet + Total cost for trees more than 70 feet.
- Total cost = $3,213,375 + $2,857,000.
- Total cost = $6,070,375.
Therefore, it would cost $6,070,375 to recover all the trees.
To find the number of feet of wood the company will have from the cypress trees, we need to multiply the number of trees by the average length of the trees. Let's break down the calculation for the first question:
1. The company has 14,285 trees at an average length of 70 feet.
To find the total number of feet of wood, we multiply the number of trees by the average length:
Total feet of wood = Number of trees × Average length
Total feet of wood = 14,285 trees × 70 feet
Now we can calculate the answer using this equation:
Total feet of wood = 999,950 feet
Therefore, the company will have 999,950 feet of wood.
Moving on to the second question:
2. Let's assume that 2/5 of the trees are more than 70 feet long.
To find the total cost of recovering all the trees, we need to calculate the cost of recovering the trees in two different categories: those measuring between 60-70 feet and those measuring more than 70 feet.
Let's calculate the cost of recovering the trees measuring between 60-70 feet:
Number of trees measuring between 60-70 feet = Total number of trees × (3/5)
Cost of recovering trees measuring between 60-70 feet = Number of trees measuring between 60-70 feet × Cost per tree
Cost of recovering trees measuring between 60-70 feet = (14,285 trees × (3/5)) × $375
Now, let's calculate the cost of recovering the trees measuring more than 70 feet:
Number of trees measuring more than 70 feet = Total number of trees × (2/5)
Cost of recovering trees measuring more than 70 feet = Number of trees measuring more than 70 feet × Cost per tree
Cost of recovering trees measuring more than 70 feet = (14,285 trees × (2/5)) × $500
To find the total cost of recovering all the trees, we need to add the costs of recovering the trees in both categories:
Total cost = Cost of recovering trees measuring between 60-70 feet + Cost of recovering trees measuring more than 70 feet
Therefore, the final step is to add the two costs together:
Total cost = (14,285 trees × (3/5)) × $375 + (14,285 trees × (2/5)) × $500
Calculating this equation will give the answer to the second question.