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Preparing an estimate for a construction job, a carpenter assumes about a 13% waste factor. If the finished project contains 1280 linear feet of boards, how many linear feet should the carpenter order? (Hint: If the waste is 13%,then the finished product is 100% - 13% or 87% of the total order.)

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Answer:

Explanation:

From the information given,

waste factor = 13%

Finished project = 100 - 13 = 87%

Let x represent the number of linear feet of boards that the carpenter should order.

If the finished project contains 1280 linear feet of boards, it means that

87% of x = 1280

Thus,

87/100 * x = 1280

0.87x = 1280

x = 1280/0.87

x = 1471.26

Approximately, 1471 linear feet of boards should be ordered

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