College

A pound of scrap aluminum sells for [tex]$0.72[/tex]. How much aluminum do you need to collect to earn [tex]$100.00[/tex]? Round to the nearest pound, if necessary.

A. 72 lb
B. 100 lb
C. 128 lb
D. 139 lb

Answer :

To find out how much aluminum you need to collect to earn [tex]$100.00, given that a pound of scrap aluminum sells for $[/tex]0.72, follow these steps:

1. Understand the Problem: You want to know how many pounds of aluminum you need to sell to make a total of [tex]$100.00.

2. Identify the Rate: The selling price of aluminum is $[/tex]0.72 per pound.

3. Set Up the Calculation: To determine the number of pounds needed, you divide the total amount of money you want ([tex]$100.00) by the price per pound ($[/tex]0.72).

4. Perform the Division:
[tex]\[
\text{Pounds needed} = \frac{\text{Total amount}}{\text{Price per pound}} = \frac{100.00}{0.72} \approx 138.89
\][/tex]

5. Round to the Nearest Pound: Since you can't collect a fraction of a pound, round 138.89 to the nearest whole number, which is 139.

Therefore, you need to collect approximately 139 pounds of aluminum to earn $100.00.

The correct answer is D. 139 lb.