To answer the questions, let's break down the information given step by step.
Part A: Determine how much potting soil Mr. Nelson used for one tomato plant.
- Mr. Nelson uses an entire bag (80 quarts) of soil to pot 15 tomato plants.
- To find out how much soil he used for each tomato plant, we divide the total amount of soil by the number of plants:
\[ \text{Soil per tomato plant} = \frac{\text{Total soil}}{\text{Number of tomato plants}} = \frac{80 \text{ quarts}}{15} = \frac{80}{15} = \frac{16}{3} \text{ quarts} \]
Answer for Part A: The amount of potting soil used for one tomato plant is \( \frac{16}{3} \) quarts.
Part B: How much potting soil did Mr. Nelson use for a single pepper plant?
From the information stated, Mr. Nelson used \( 3 \frac{2}{3} \) quarts of soil for a single pepper plant. This can be converted to an improper fraction:
\[ 3 \frac{2}{3} = \frac{11}{3} \text{ quarts} \]
Answer for Part B: The amount of potting soil used for one pepper plant is \( \frac{11}{3} \) quarts.
Part C: How much potting soil is left in a bag after potting one pepper plant?
- First, we know the total amount of soil in a bag is 80 quarts.
- Since he used \( 3 \frac{2}{3} \) quarts (or \( \frac{11}{3} \) quarts) for the pepper plant, we can subtract that amount from the total:
\[ \text{Soil left} = \text{Total soil} - \text{Soil used for pepper plant} \]
Converting 80 quarts into an improper fraction:
\[ 80 \text{ quarts} = \frac{240}{3} \text{ quarts} \]
Now, calculating the amount of soil left:
\[ \text{Soil left} = \frac{240}{3} - \frac{11}{3} = \frac{240 - 11}{3} = \frac{229}{3} \text{ quarts} \]
Answer for Part C: The amount of potting soil left in the bag after potting one pepper plant is \( \frac{229}{3} \) quarts.
3 answers