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Answer :
Final answer:
The weight in pounds of the 2004 lobster catch was c) 71,122,366.
Explanation:
To find the weight of the 2004 lobster catch, we can use the information given in the question. We know that in 2006, the lobstermen netted a record catch of 75,298,328 pounds, which was a 5.2% increase over the previous record catch in 2004. Let X represent the weight of the 2004 catch.
We can set up the following equation to represent the increase:
X + 5.2% of X = 75,298,328
To solve for X, first convert the percentage to a decimal by dividing by 100:
5.2% = 0.052
Now, the equation becomes:
X + 0.052X = 75,298,328
Combine like terms:
1.052X = 75,298,328
To isolate X, divide both sides by 1.052:
X = 75,298,328 / 1.052
X ≈ 71,122,366 pounds
So, the weight in pounds of the 2004 catch was approximately 71,122,366 pounds.
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