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We are given that Rishi invested a total of $8,800. Part of it was invested at 4% simple annual interest, and the rest was invested at 8% simple annual interest. The total interest earned at the end of the first year was $600. We are asked to compare **Quantity A** (the interest earned from the 8% investment) to **Quantity B** ($352).

Let’s define:
- $ x $ as the amount invested at 4% interest.
- $ 8800 - x $ as the amount invested at 8% interest.

### Step 1: Calculate the total interest formula
Using the simple interest formula $ I = P \times r \times t $, where $ P $ is the principal, $ r $ is the interest rate, and $ t $ is the time (which is 1 year in this case), we can write two expressions:
- The interest from the 4% investment: $ 0.04 \times x $
- The interest from the 8% investment: $ 0.08 \times (8800 - x) $

The total interest from both investments is given as $600:
\[
0.04x + 0.08(8800 - x) = 600
\]

### Step 2: Solve for $ x $
Expand and simplify the equation:
\[
0.04x + 0.08 \times 8800 - 0.08x = 600
\]
\[
0.04x + 704 - 0.08x = 600
\]
\[
-0.04x + 704 = 600
\]
\[
-0.04x = 600 - 704
\]
\[
-0.04x = -104
\]
\[
x = \frac{-104}{-0.04} = 2600
\]

So, $2,600 was invested at 4%, and the remaining $8,800 - $2,600 = $6,200 was invested at 8%.

### Step 3: Calculate the interest from the 8% investment
The interest earned from the 8% investment is:
\[
0.08 \times 6200 = 496
\]

### Step 4: Compare the quantities
- **Quantity A**: The interest earned from the 8% investment is **$496**.
- **Quantity B**: The given value is **$352**.

Since $496 > $352,**Quantity A** is greater than **Quantity B**.

Would you like more details or have any questions? Here are some related questions to explore further:

1. How would the interest change if more was invested at 8%?
2. What if the interest rate for one investment was changed to 6%?
3. How does compound interest differ from simple interest?
4. How would the total interest be affected if the investment period was 2 years?
5. Can we determine the exact amounts invested without knowing the total interest?

**Tip:** Always break down problems step by step, especially when comparing values like interest over different rates.

Rishi invested a total of $8,800. Part of the money was invested in an account that paid 4 percent simple annual interest, and the rest of the money was invested in a fund that paid 8 percent simple annual interest. The interest earned at the end of the first year from these investments was $600. Compare Quantity A (the interest earned, in dollars, by Rishi from the investment made at 8 percent simple annual interest) to Quantity B ($352).

Rishi invested $8,800, part at 4% and part at 8% simple interest. The total interest was $600. This solution compares the interest earned at 8% to $352 using basic algebra and simple interest formulas. Suitable for students in Grades 7-9.

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