(1) 80 Divide the following numbers in a ratio $$ 1: 5: 5 $$

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UpStudy AI · Accepted Answer

To divide the number **80** in the ratio $$ 1 : 5 : 5 $$, follow these steps:

### Step 1: Calculate the Total Number of Parts
Add up all parts of the ratio:
$$
1 + 5 + 5 = 11 \text{ parts}
$$

### Step 2: Determine the Value of One Part
Divide the total number (80) by the total number of parts (11):
$$
\text{Value of one part} = \frac{80}{11} \approx 7.27
$$

### Step 3: Allocate the Numbers Based on the Ratio

- **First Portion (1 part):**
  $$
  1 \times \frac{80}{11} = \frac{80}{11} \approx 7.27
  $$

- **Second Portion (5 parts):**
  $$
  5 \times \frac{80}{11} = \frac{400}{11} \approx 36.36
  $$

- **Third Portion (5 parts):**
  $$
  5 \times \frac{80}{11} = \frac{400}{11} \approx 36.36
  $$

### Summary of the Divided Amounts

- **First Number:** $$ \frac{80}{11} $$ or **7 3⁄11**
- **Second Number:** $$ \frac{400}{11} $$ or **36 4⁄11**
- **Third Number:** $$ \frac{400}{11} $$ or **36 4⁄11**

**Verification:**
$$
7\,\frac{3}{11} + 36\,\frac{4}{11} + 36\,\frac{4}{11} = 80
$$

### Decimal Representation

If you prefer decimal values:
- **First Number:** ≈ **7.27**
- **Second Number:** ≈ **36.36**
- **Third Number:** ≈ **36.36**

These rounded values also add up to approximately **80**.

---

**Final Answer:**
Dividing 80 in the ratio 1 : 5 : 5 gives:
• 7 3⁄11,
• 36 4⁄11, and
• 36 4⁄11.

In decimal form:
• 7.27,
• 36.36, and
• 36.36.
Divide 80 into parts of 1, 5, and 5. The numbers are approximately 7.27, 36.36, and 36.36.

(1) 80
Divide the following numbers in a ratio

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