Question 1179507
Let's break down this problem step by step.

**1. Define Variables**

* Let  'x' be the amount invested in the 5.5% account.
* Amount invested in the 4% account: 4x 
* Amount invested in the 6% account: 24500 - x - 4x = 24500 - 5x

**2. Set Up the Interest Equation**

* Interest from 4% account: 0.04 * 4x = 0.16x
* Interest from 5.5% account: 0.055 * x = 0.055x
* Interest from 6% account: 0.06 * (24500 - 5x) = 1470 - 0.3x

* Total interest earned: 0.16x + 0.055x + 1470 - 0.3x = 1300

**3. Solve the Equation**

* Combine like terms: -0.085x + 1470 = 1300
* Subtract 1470 from both sides: -0.085x = -170
* Divide both sides by -0.085: x ≈ 2000

**4. Calculate the Amount in Each Account**

* 5.5% account: x ≈ 2000 cedis
* 4% account: 4x ≈ 8000 cedis
* 6% account: 24500 - 5x ≈ 14500 cedis

**Answer:**

Mariana initially placed:

* **2000 cedis** in the 5.5% account.
* **8000 cedis** in the 4% account.
* **14500 cedis** in the 6% account.