1.1.3 The learners intend to pour organic compost over the strawberry plot. One bag of compost costing R60,50 can cover an area of $$ 3,5 \mathrm{~m}^{2} $$. Determine the total cost to buy the compost to cover the strawberry plot. 1.1.4 $$ \begin{array}{l} ext { Potatoes are consumed by humans as biofuel, if } 50 \mathrm{~kg} ext { of potatoes are produced } \ ext { every season and } 10 \mathrm{~kg} ext { can feed a family of } 10 ext { persons. } \ ext { How many people/persons can be fed from the seasonal production? }\end{array} $$ (3)

Question

1.1.3 The learners intend to pour organic compost over the strawberry plot. One bag of compost costing R60,50 can cover an area of $$ 3,5 \mathrm{~m}^{2} $$. Determine the total cost to buy the compost to cover the strawberry plot. 1.1.4 $$ \begin{array}{l}	ext { Potatoes are consumed by humans as biofuel, if } 50 \mathrm{~kg} 	ext { of potatoes are produced } \ 	ext { every season and } 10 \mathrm{~kg} 	ext { can feed a family of } 10 	ext { persons. } \ 	ext { How many people/persons can be fed from the seasonal production? }\end{array} $$ (3)

UpStudy AI · Accepted Answer

Let's solve each part of the problem step by step.

### 1.1.3 Cost of Compost

**Known Conditions:**
- Cost of one bag of compost: $$ R60.50 $$
- Area covered by one bag of compost: $$ 3.5 \, \text{m}^2 $$

**Step 1: Determine the total area of the strawberry plot.**
Since the area of the strawberry plot is not provided, let's denote it as $$ A \, \text{m}^2 $$.

**Step 2: Calculate the number of bags needed.**
To find the number of bags required to cover the area $$ A $$, we can use the formula:
$$
\text{Number of bags} = \frac{A}{3.5}
$$

**Step 3: Calculate the total cost.**
The total cost $$ C $$ can be calculated as:
$$
C = \text{Number of bags} \times \text{Cost per bag} = \left(\frac{A}{3.5}\right) \times 60.50
$$

Now, let's express this in a simplified form:
$$
C = \frac{A \times 60.50}{3.5}
$$

### 1.1.4 Potatoes as Biofuel

**Known Conditions:**
- Seasonal production of potatoes: $$ 50 \, \text{kg} $$
- Amount of potatoes needed to feed a family of 10 persons: $$ 10 \, \text{kg} $$

**Step 1: Determine how many families can be fed.**
To find the number of families that can be fed from the seasonal production, we can use the formula:
$$
\text{Number of families} = \frac{50 \, \text{kg}}{10 \, \text{kg/family}} = 5 \, \text{families}
$$

**Step 2: Calculate the total number of persons fed.**
Since each family consists of 10 persons, the total number of persons that can be fed is:
$$
\text{Total persons} = 5 \, \text{families} \times 10 \, \text{persons/family} = 50 \, \text{persons}
$$

### Summary of Results
1. The total cost to buy the compost to cover the strawberry plot is given by:
   $$
   C = \frac{A \times 60.50}{3.5}
   $$
   (where $$ A $$ is the area of the strawberry plot in $$ \text{m}^2 $$).

2. The total number of persons that can be fed from the seasonal production of potatoes is $$ 50 \, \text{persons} $$.
To cover the strawberry plot: - Calculate the number of compost bags needed by dividing the plot area by 3.5 m². - Multiply the number of bags by R60.50 to find the total cost. For feeding with potatoes: - Divide the total potato production (50 kg) by the amount needed per family (10 kg) to find the number of families that can be fed. - Multiply the number of families by 10 to get the total number of persons fed. **Summary:** - Total cost: $$ \frac{\text{Plot Area} \times 60.50}{3.5} $$ Rands - Total persons fed: 50

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