To find out how many quarts of potting soil Mr. Nelson will use to pot a radish plant, we need to know the amount of potting soil he uses for a pepper plant.
Let's define the amount of potting soil used for a pepper plant as \( P \) quarts. According to the information given, Mr. Nelson uses \( \frac{3}{8} \) of the amount of soil for a radish plant compared to a pepper plant. So, the amount of soil used for a radish plant can be expressed as:
\[ R = \frac{3}{8} P \]
Here, \( R \) is the amount of potting soil used for the radish plant.
Without knowing the specific value of \( P \), we can't find a numerical value for \( R \). However, if we had a specific amount for \( P \), we could substitute it into the equation. For example:
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If Mr. Nelson uses 8 quarts for a pepper plant, then: \[ R = \frac{3}{8} \times 8 = 3 \text{ quarts} \]
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If Mr. Nelson uses 4 quarts for a pepper plant, then: \[ R = \frac{3}{8} \times 4 = 1.5 \text{ quarts} \]
In conclusion, the amount of potting soil used for a radish plant depends on the specific amount used for the pepper plant and it is calculated as \( \frac{3}{8} \) of that amount. If you have a specific value for \( P \), you can use the formula \( R = \frac{3}{8} P \) to find the amount of soil used for the radish plant.
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