High School

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If 6 lbs of nails are needed for each thousand lath, how many pounds are required for 4250 lath?

Round your answer to the nearest tenth.

Answer :

Final answer:

To find out how many pounds of nails are needed for 4,250 laths, we set up the proportion 1,000 laths/6 lbs = 4,250 laths/x lbs and solve for x. The answer is that 25.5 pounds of nails are required for 4,250 laths.

Explanation:

If you need nails for a construction project, it's much more efficient to buy them by weight instead of counting out each individual nail. In this problem, we know that 6 pounds of nails are needed for every thousand laths. The student is asked to determine how many pounds are required for 4,250 laths. We can find this by setting up a proportion since the number of laths is proportional to the weight of the nails needed.

First, we identify that 1,000 laths require 6 lbs of nails. Then, we can set up a proportion to find out how many pounds of nails are needed for 4,250 laths:

1,000 laths / 6 lbs = 4,250 laths / x lbs

To solve for x, we can cross-multiply and divide:

(1,000) * (x) = (6) * (4,250)

x = (6 * 4,250) / 1,000

x = 25,500 / 1,000

x = 25.5

Therefore, 25.5 pounds of nails are required for 4,250 laths. This is a practical application of mathematics where we use unit conversions and proportions to estimate material needs, demonstrating the importance of mathematics in everyday tasks such as construction.

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