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Let's solve the problem using placeholders and then insert the values.
Given:
- The grass grew \( g \) centimeters in \( d \) days.
We need to find:
1. How many days it take to grow 1 centimetre?
2. How many centimeters does the grass grow in 1 day?
Solution:
1. How many days did it take the grass to grow 1 centimetre?
To find the number of days to grow 1 centimetre:
\[ \text{Days per centimeter} = \frac{d}{g} \]
2. **How many centimetres did the grass grow in 1 day?**
To find the number of centimetres grown in 1 day:
\[ \text{Centimeters per day} = \frac{g}{d} \]
Now, let's insert the values:
Example
Let's assume the grass grew 10 centimetres in 5 days.
1. How many days did it take the grass to grow 1 centimetre?
\[ \text{Days per centimeter} = \frac{5 \text{ days}}{10 \text{ centimeters}} = 0.5 \text{ days per centimeter} \]
2. How many centimetres did the grass grow in 1 day?
\[ \text{Centimeters per day} = \frac{10 \text{ centimeters}}{5 \text{ days}} = 2 \text{ centimeters per day} \]
Thus:
1. It took 0.5 days for the grass to grow 1 centimetre.
2. The grass grew 2 centimetres in 1 day.