23 rd January 2025 Week: 3 Homewerk. 1
1.) Mr. Mensah redrew an amounc of money from the bank. He gave of it to the son and gave 15 to the daughter. If he sill had GH left, how much did he redreio from the bank? And how much did the daughter recenve? Solution

Ask by Guzman Spencer. in Ghana

Jan 23,2025

Question

23 rd January 2025 Week: 3 Homewerk. 1
1.) Mr. Mensah redrew an amounc of money from the bank. He gave of it to the son and gave 15 to the daughter. If he sill had GH left, how much did he redreio from the bank? And how much did the daughter recenve? Solution

Ask by Guzman Spencer. in Ghana

Jan 23,2025

UpStudy AI · Accepted Answer

Let's solve the problem step by step.

### **Problem Statement:**

Mr. Mensah withdrew an amount of money from the bank. He gave **$$ \frac{1}{3} $$** of it to his son and **GHS 15** to his daughter. After these transactions, he still had **GHS 200** left.

**Questions:**
1. How much did Mr. Mensah withdraw from the bank?
2. How much did the daughter receive?

### **Solution:**

Let's denote the total amount of money Mr. Mensah withdrew from the bank as **$$ x $$**.

1. **Amount given to the son:**
   $$
   \frac{1}{3} \times x = \frac{x}{3}
   $$

2. **Amount given to the daughter:**
   $$
   \text{GHS }15
   $$

3. **Amount left after the transactions:**
   $$
   \text{GHS }200
   $$

Now, according to the problem statement, the sum of the amounts given to the son, the daughter, and the amount left should equal the total amount withdrawn:
$$
\frac{x}{3} + 15 + 200 = x
$$

Let's solve for **$$ x $$**:

1. Combine like terms:
   $$
   \frac{x}{3} + 215 = x
   $$

2. Subtract **$$ \frac{x}{3} $$** from both sides to isolate the variable:
   $$
   215 = x - \frac{x}{3}
   $$

3. Simplify the right side:
   $$
   215 = \frac{3x}{3} - \frac{x}{3} = \frac{2x}{3}
   $$

4. Multiply both sides by **$$ \frac{3}{2} $$** to solve for **$$ x $$**:
   $$
   x = 215 \times \frac{3}{2} = 322.5
   $$

So, **Mr. Mensah withdrew GHS 322.50** from the bank.

### **Answers to the Questions:**

1. **Total Amount Withdrawn:**
   $$
   \text{GHS }322.50
   $$

2. **Amount Given to the Daughter:**
   $$
   \text{GHS }15
   $$

### **Summary:**
- **Total Withdrawn:** GHS 322.50
- **Daughter Received:** GHS 15
Mr. Mensah withdrew GHS 322.50 from the bank and gave GHS 15 to his daughter.

23 rd January 2025 Week: 3 Homewerk. 1
1.) Mr. Mensah redrew an amounc of money from the bank. He gave of it to the son and gave 15 to the daughter. If he sill had GH left, how much did he redreio from the bank? And how much did the daughter recenve? Solution

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23 rd January 2025 Week: 3 Homewerk. 1 1.) Mr. Mensah redrew an amounc of money from the bank. He gave of it to the son and gave 15 to the daughter. If he sill had GH left, how much did he redreio from the bank? And how much did the daughter recenve? Solution

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23 rd January 2025 Week: 3 Homewerk. 1
1.) Mr. Mensah redrew an amounc of money from the bank. He gave of it to the son and gave 15 to the daughter. If he sill had GH left, how much did he redreio from the bank? And how much did the daughter recenve? Solution