Question: a. 12
b. 11
c. 10
d. 9
position_hint=top-left: Text question asking “Nine men can repair a house in 12 days?” with answer choices 12, 11, 10, 9.
a. 15:40
b. 16:45
c. 18:40
d. 20:45
position_hint=center: Text question asking “Express the ratio of 64 minutes to three hours.” with answer choices 15:40, 16:45, 18:40, 20:45.
position_hint=bottom-left: Text question asking “Express the ratio of 300 g to 2 kg.”
1. **Problem 1:** Nine men can repair a house in 12 days. The question is to confirm or understand this statement.
Since the problem states "Nine men can repair a house in 12 days," this is a direct statement, so the answer is $12$ days.
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2. **Problem 2:** Express the ratio of 64 minutes to three hours.
- First, convert three hours to minutes: $$3 \text{ hours} = 3 \times 60 = 180 \text{ minutes}.$$
- The ratio is then $$\frac{64}{180}.$$
- Simplify the fraction by dividing numerator and denominator by their greatest common divisor, which is 4:
$$\frac{64}{180} = \frac{\cancel{4} \times 16}{\cancel{4} \times 45} = \frac{16}{45}.$$
- So the ratio is $16:45$.
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3. **Problem 3:** Express the ratio of 300 g to 2 kg.
- Convert 2 kg to grams: $$2 \text{ kg} = 2 \times 1000 = 2000 \text{ g}.$$
- The ratio is $$\frac{300}{2000}.$$
- Simplify by dividing numerator and denominator by 100:
$$\frac{300}{2000} = \frac{\cancel{100} \times 3}{\cancel{100} \times 20} = \frac{3}{20}.$$
- So the ratio is $3:20$.
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**Final answers:**
1. $12$
2. $16:45$
3. $3:20$