Question
10. TieH.C.F. of two numbers is 3 . Which of the following pairs represents the two numbers in the options below? A. 12 and 17 B. \( \quad 10 \) and 20 C. 9 and 15 D. 8 and 12 E. 4 and 6 15. 11. \( 25 \% \) of 500.00 is less than one of the following by \( \$ 80.00 \). A. \( \$ 195.00 \) B. \( \quad 2205.00 \) C. \( \quad \$ 225.00 \) D. \( \quad \) 230.00 E. \( \quad \$ 240.00 \) 12. Change \( \$ 32.08 \) to kobo. A. \( \quad 320 \) B. 328 C. \( \quad 330 \) D. 3,208 E. 3,280 13. How many NIO.00 added up to make \( 211,000.00 ? \)
Ask by Lyons Dickson. in Nigeria
Feb 20,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
- Problem 10: C. 9 and 15
- Problem 11: C. \$225.00
- Problem 12: D. 3,208
- Problem 13: 211,000.00
Solution
Let's solve each problem step by step.
### Problem 10: Finding the Pair of Numbers with H.C.F. of 3
We need to find which pair of numbers has a Highest Common Factor (H.C.F.) of 3.
**Options:**
- A. 12 and 17
- B. 10 and 20
- C. 9 and 15
- D. 8 and 12
- E. 4 and 6
**Step 1: Calculate H.C.F. for each pair.**
1. **A. 12 and 17**
- Factors of 12: 1, 2, 3, 4, 6, 12
- Factors of 17: 1, 17
- H.C.F. = 1
2. **B. 10 and 20**
- Factors of 10: 1, 2, 5, 10
- Factors of 20: 1, 2, 4, 5, 10, 20
- H.C.F. = 10
3. **C. 9 and 15**
- Factors of 9: 1, 3, 9
- Factors of 15: 1, 3, 5, 15
- H.C.F. = 3
4. **D. 8 and 12**
- Factors of 8: 1, 2, 4, 8
- Factors of 12: 1, 2, 3, 4, 6, 12
- H.C.F. = 4
5. **E. 4 and 6**
- Factors of 4: 1, 2, 4
- Factors of 6: 1, 2, 3, 6
- H.C.F. = 2
**Conclusion for Problem 10:**
The pair that has an H.C.F. of 3 is **C. 9 and 15**.
---
### Problem 11: Finding the Amount
We need to find which amount is \( \$80.00 \) more than \( 25\% \) of \( 500.00 \).
**Step 1: Calculate \( 25\% \) of \( 500.00 \).**
\[
25\% \text{ of } 500 = \frac{25}{100} \times 500 = 125
\]
**Step 2: Add \( 80.00 \) to \( 125 \).**
\[
125 + 80 = 205
\]
**Step 3: Compare with the options.**
- A. \( 195.00 \) (not greater)
- B. \( 2205.00 \) (not relevant)
- C. \( 225.00 \) (greater)
- D. \( 230.00 \) (greater)
- E. \( 240.00 \) (greater)
**Conclusion for Problem 11:**
The amount that is \( \$80.00 \) more than \( 125 \) is **C. \( 225.00 \)**.
---
### Problem 12: Converting Dollars to Kobo
We need to convert \( \$32.08 \) to kobo.
**Step 1: Understand the conversion.**
1 dollar = 100 kobo.
**Step 2: Calculate the conversion.**
\[
32.08 \text{ dollars} = 32.08 \times 100 = 3208 \text{ kobo}
\]
**Conclusion for Problem 12:**
The amount in kobo is **D. 3,208**.
---
### Problem 13: Finding the Number of NIO.00 to Make 211,000.00
We need to find how many NIO.00 are needed to make \( 211,000.00 \).
**Step 1: Understand the problem.**
If we denote the number of NIO.00 as \( n \), then:
\[
n \times 1 = 211,000
\]
**Step 2: Solve for \( n \).**
\[
n = 211,000
\]
**Conclusion for Problem 13:**
The number of NIO.00 needed is **211,000.00**.
---
In summary:
- Problem 10: C. 9 and 15
- Problem 11: C. \( 225.00 \)
- Problem 12: D. 3,208
- Problem 13: 211,000.00
Answered by UpStudy AI and reviewed by a Professional Tutor
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Beyond the Answer
For the first question regarding common factors, the pair that has a greatest common factor (G.C.F.) of 3 is option C, which is 9 and 15. Both numbers share the factor of 3, and since 3 is their highest common factor, they fit the criteria perfectly! Now, when we talk about percentages, calculating 25% of $500.00 gives us $125.00. To find out what $125.00 is less than by $80.00, you add $80.00 to $125.00, which totals $205.00. The closest option that represents a number greater than this value is A, $195.00, meaning the other options would be even higher!