A recycling center pays $0.35 per pound for aluminum cans that it receives. If students at Ash High School want to raise $500 in an aluminum-recycling project, what is a reasonable number or pounds of aluminum cans they must collect?

To find out how many pounds of aluminum cans the students at Ash High School need to collect to raise $500, we can set up a simple equation.

### Given:
- The recycling center pays $0.35 per pound of aluminum.
- The students want to raise $500.

### Step 1: Set Up the Equation
Let $ x $ be the number of pounds of aluminum cans needed to raise $500. The equation is:
\[
0.35x = 500
\]

### Step 2: Solve for $ x $
To find $ x $, divide both sides of the equation by 0.35:
\[
x = \frac{500}{0.35}
\]

### Step 3: Calculate the Value
\[
x = 1428.57
\]

Since they can't collect a fraction of a pound in practice, it would be reasonable to round up to the nearest whole number. Thus, the students need to collect **1,429 pounds** of aluminum cans to raise $500.

Would you like more details, or do you have any questions?

Here are some related questions you might consider:
1. How much money would the students raise if they collected 1,000 pounds of aluminum?
2. If the price per pound of aluminum increased to $0.40, how many pounds would they need to collect to raise $500?
3. What if the students only collected 1,200 pounds? How much money would they raise?
4. How would the required pounds change if they aimed to raise $1,000 instead?
5. What are the possible environmental benefits of recycling this amount of aluminum?

**Tip:** When solving word problems, always double-check the units you're working with to ensure consistency and accuracy.

Discover how many pounds of aluminum cans students at Ash High School need to collect to raise $500 with a step-by-step solution. This problem involves setting up and solving a proportionality equation related to money and weight. Suitable for Grades 7-9.

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