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Answer :
To determine how much aluminum you need to collect to earn [tex]$100.00 when a pound of scrap aluminum sells for $[/tex]0.72, we can follow these steps:
1. Understand the problem: You need to know how many pounds of aluminum will give you a total of [tex]$100.00 in earnings.
2. Set up the calculation:
- You earn $[/tex]0.72 for each pound of aluminum.
- You want to earn a total of [tex]$100.00.
3. Calculate the required pounds:
- To find out how many pounds you need to collect, divide your target earnings by the price per pound:
\[
\text{Pounds needed} = \frac{\text{Target earnings}}{\text{Price per pound}} = \frac{100.00}{0.72}
\]
4. Perform the division:
- When you calculate \( \frac{100.00}{0.72} \), you get approximately 138.89 pounds.
5. Rounding to the nearest whole number:
- Since you need to know the whole number of pounds, round 138.89 to the nearest whole number, which is 139.
6. Conclusion:
- You need to collect 139 pounds of aluminum to earn at least $[/tex]100.00.
Therefore, the correct answer is D. 139 lb.
1. Understand the problem: You need to know how many pounds of aluminum will give you a total of [tex]$100.00 in earnings.
2. Set up the calculation:
- You earn $[/tex]0.72 for each pound of aluminum.
- You want to earn a total of [tex]$100.00.
3. Calculate the required pounds:
- To find out how many pounds you need to collect, divide your target earnings by the price per pound:
\[
\text{Pounds needed} = \frac{\text{Target earnings}}{\text{Price per pound}} = \frac{100.00}{0.72}
\]
4. Perform the division:
- When you calculate \( \frac{100.00}{0.72} \), you get approximately 138.89 pounds.
5. Rounding to the nearest whole number:
- Since you need to know the whole number of pounds, round 138.89 to the nearest whole number, which is 139.
6. Conclusion:
- You need to collect 139 pounds of aluminum to earn at least $[/tex]100.00.
Therefore, the correct answer is D. 139 lb.
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