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One week, a construction worker bought [tex]40 \frac{1}{10}[/tex] pounds of nails. The next week, he bought [tex]2 \frac{1}{2}[/tex] times as many nails as the week before. How many pounds of nails did he buy the second week?

A. [tex]16 \frac{1}{25}[/tex] lb
B. [tex]99 \frac{1}{4}[/tex] lb
C. [tex]80 \frac{1}{20}[/tex] lb
D. [tex]100 \frac{1}{4}[/tex] lb

Answer :

To find out how many pounds of nails the construction worker bought the second week, we have the following information:

1. During the first week, the worker purchased [tex]\(40 \frac{1}{10}\)[/tex] pounds of nails. We can express this fraction as a decimal, which is 40.1 pounds.

2. In the second week, the worker bought [tex]\(2 \frac{1}{2}\)[/tex] times more nails than he did the first week. Converting [tex]\(2 \frac{1}{2}\)[/tex] to a decimal gives us 2.5.

Now, to find out how many pounds of nails the worker bought in the second week, we multiply the pounds bought in the first week by the multiplier for the second week:

[tex]\[
40.1 \times 2.5 = 100.25
\][/tex]

So, the construction worker bought [tex]\(100 \frac{1}{4}\)[/tex] pounds of nails in the second week.

The correct answer is:
D) [tex]\(100 \frac{1}{4} \, \text{lb}\)[/tex]

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