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Answer :
To determine how many pounds of nails the construction worker bought in the second week, follow these steps:
1. Initial Nails Purchased:
The worker initially bought [tex]\( 40 \frac{1}{10} \)[/tex] pounds of nails. This can be converted into an improper fraction or a decimal. In decimal form, it is [tex]\( 40.1 \)[/tex] pounds.
2. Amount Purchased the Next Week:
The following week, the worker bought [tex]\( 2 \frac{1}{2} \)[/tex] times as many nails as he did in the first week. In decimal form, [tex]\( 2 \frac{1}{2} \)[/tex] is equivalent to [tex]\( 2.5 \)[/tex].
3. Calculate the Total for the Second Week:
To find out the number of pounds of nails he bought in the second week, multiply the initial amount by [tex]\( 2.5 \)[/tex]:
[tex]\[
40.1 \times 2.5 = 100.25
\][/tex]
Therefore, the number of pounds of nails purchased in the second week is [tex]\( 100 \frac{1}{4} \)[/tex] pounds.
The correct answer is [tex]\( \boxed{100 \frac{1}{4} \text{ lb}} \)[/tex], which corresponds to option (D).
1. Initial Nails Purchased:
The worker initially bought [tex]\( 40 \frac{1}{10} \)[/tex] pounds of nails. This can be converted into an improper fraction or a decimal. In decimal form, it is [tex]\( 40.1 \)[/tex] pounds.
2. Amount Purchased the Next Week:
The following week, the worker bought [tex]\( 2 \frac{1}{2} \)[/tex] times as many nails as he did in the first week. In decimal form, [tex]\( 2 \frac{1}{2} \)[/tex] is equivalent to [tex]\( 2.5 \)[/tex].
3. Calculate the Total for the Second Week:
To find out the number of pounds of nails he bought in the second week, multiply the initial amount by [tex]\( 2.5 \)[/tex]:
[tex]\[
40.1 \times 2.5 = 100.25
\][/tex]
Therefore, the number of pounds of nails purchased in the second week is [tex]\( 100 \frac{1}{4} \)[/tex] pounds.
The correct answer is [tex]\( \boxed{100 \frac{1}{4} \text{ lb}} \)[/tex], which corresponds to option (D).
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