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 Davison Goodwin. in Nigeria
Feb 20,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
- Problem 10: C. 9 and 15
- Problem 11: B. 2205
- Problem 12: D. 3,208
- Problem 13: 211,000
Solution
Let's solve each problem step by step.
### Problem 10: Finding pairs of numbers with H.C.F. of 3
**Known Condition:** The H.C.F. of two numbers is 3.
**Options:**
- A. 12 and 17
- B. 10 and 20
- C. 9 and 15
- D. 8 and 12
- E. 4 and 6
**Step 1:** Check each pair to see if their H.C.F. is 3.
1. **Pair A: 12 and 17**
- Factors of 12: 1, 2, 3, 4, 6, 12
- Factors of 17: 1, 17
- H.C.F. = 1 (not 3)
2. **Pair B: 10 and 20**
- Factors of 10: 1, 2, 5, 10
- Factors of 20: 1, 2, 4, 5, 10, 20
- H.C.F. = 10 (not 3)
3. **Pair C: 9 and 15**
- Factors of 9: 1, 3, 9
- Factors of 15: 1, 3, 5, 15
- H.C.F. = 3 (this is a valid pair)
4. **Pair D: 8 and 12**
- Factors of 8: 1, 2, 4, 8
- Factors of 12: 1, 2, 3, 4, 6, 12
- H.C.F. = 4 (not 3)
5. **Pair E: 4 and 6**
- Factors of 4: 1, 2, 4
- Factors of 6: 1, 2, 3, 6
- H.C.F. = 2 (not 3)
**Conclusion for Problem 10:** The pair that represents the two numbers with H.C.F. of 3 is **C. 9 and 15**.
---
### Problem 11: Finding a value that is $80 more than 25% of 500
**Step 1:** Calculate \( 25\% \) of 500.
\[
\text{Value} = 0.25 \times 500
\]
**Step 2:** Find the value that is $80 more than this result.
**Calculating:**
\[
\text{Value} = 0.25 \times 500 = 125
\]
\[
\text{Value} + 80 = 125 + 80 = 205
\]
**Step 3:** Check which option is greater than 205.
- A. 195 (not greater)
- B. 2205 (greater)
- C. 225 (greater)
- D. 230 (greater)
- E. 240 (greater)
**Conclusion for Problem 11:** The answer is **B. 2205**.
---
### Problem 12: Converting $32.08 to kobo
**Known Condition:** 1 dollar = 100 kobo.
**Step 1:** Convert $32.08 to kobo.
\[
\text{Kobo} = 32.08 \times 100
\]
**Calculating:**
\[
\text{Kobo} = 3208
\]
**Conclusion for Problem 12:** The answer is **D. 3,208**.
---
### Problem 13: Finding how many NIO.00 make 211,000.00
**Known Condition:** We need to find how many NIO.00 make up 211,000.00.
**Step 1:** Since NIO.00 is the same as 1, we can directly calculate:
\[
\text{Number of NIO.00} = 211,000.00 / 1
\]
**Calculating:**
\[
\text{Number of NIO.00} = 211,000
\]
**Conclusion for Problem 13:** The answer is **211,000**.
---
### Summary of Answers:
- Problem 10: C. 9 and 15
- Problem 11: B. 2205
- Problem 12: D. 3,208
- Problem 13: 211,000
Answered by UpStudy AI and reviewed by a Professional Tutor
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Extra Insights
To find pairs of numbers where the highest common factor (HCF) is 3, we need to check each option for divisibility by 3. The pairs that fulfill this requirement are those that can be simplified to fractions with denominators summing to multiples of 3, like 9 and 15. They both share a common divisor of 3! When calculating 25% of 500, which equals $125, and we know this is $80 less than a certain amount, we can set up an equation. Simply add $80 to $125, giving you $205. Among the choices given, $195 is the only amount less than $205, making it the answer to that question!