QUESTION 3 3.1 A recipe to make 30 biscuits uses 2 eggs. a) How many eggs will be needed to make 120 biscuits? b) How many biscuits can be made with 7 eggs? 3.2 A car travelling at $$ 120 \mathrm{~km} / \mathrm{h} $$ covers a certain distance in 2 hours 45 minutes. The car then travels the same distance in 3 hours and 12 minutes. What is the constant speed that the car travels? A farmer ploughs his lands in 12 days if he uses 5 tractors. How long will it take if he uses only 3 tractors? QUESTION 4 Arrange the following in descending order: $$ -8 ;-1 ; 8 ;-16 ; 12 ;-12 ; 9 $$ (3)

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### 3.1
**a)** A recipe to make 30 biscuits uses 2 eggs. We need to find out how many eggs are needed to make 120 biscuits.

1. **Determine the number of biscuits per egg:**
   $$
   \text{Biscuits per egg} = \frac{30 \text{ biscuits}}{2 \text{ eggs}} = 15 \text{ biscuits/egg}
   $$

2. **Calculate the number of eggs needed for 120 biscuits:**
   $$
   \text{Eggs needed} = \frac{120 \text{ biscuits}}{15 \text{ biscuits/egg}} = 8 \text{ eggs}
   $$

**Answer for 3.1 a:** 8 eggs.

**b)** Now, we need to find out how many biscuits can be made with 7 eggs.

1. **Calculate the number of biscuits that can be made with 7 eggs:**
   $$
   \text{Biscuits} = 7 \text{ eggs} \times 15 \text{ biscuits/egg} = 105 \text{ biscuits}
   $$

**Answer for 3.1 b:** 105 biscuits.

### 3.2
A car traveling at $$ 120 \mathrm{~km/h} $$ covers a certain distance in 2 hours and 45 minutes. We need to find the constant speed for the second part of the journey.

1. **Convert 2 hours and 45 minutes to hours:**
   $$
   2 \text{ hours} + \frac{45 \text{ minutes}}{60} = 2.75 \text{ hours}
   $$

2. **Calculate the distance covered in the first part:**
   $$
   \text{Distance} = \text{Speed} \times \text{Time} = 120 \text{ km/h} \times 2.75 \text{ hours} = 330 \text{ km}
   $$

3. **Convert 3 hours and 12 minutes to hours:**
   $$
   3 \text{ hours} + \frac{12 \text{ minutes}}{60} = 3.2 \text{ hours}
   $$

4. **Calculate the speed for the second part of the journey:**
   $$
   \text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{330 \text{ km}}{3.2 \text{ hours}} = 103.125 \text{ km/h}
   $$

**Answer for 3.2:** The constant speed is $$ 103.125 \mathrm{~km/h} $$.

### Additional Problem
A farmer ploughs his lands in 12 days if he uses 5 tractors. We need to find out how long it will take if he uses only 3 tractors.

1. **Calculate the total work done in tractor-days:**
   $$
   \text{Total work} = 5 \text{ tractors} \times 12 \text{ days} = 60 \text{ tractor-days}
   $$

2. **Calculate the number of days required with 3 tractors:**
   $$
   \text{Days} = \frac{\text{Total work}}{\text{Number of tractors}} = \frac{60 \text{ tractor-days}}{3 \text{ tractors}} = 20 \text{ days}
   $$

**Answer for the farmer's problem:** 20 days.

### 4
Now, let's arrange the numbers in descending order: $$ -8, -1, 8, -16, 12, -12, 9 $$.

1. **List the numbers:**
   - $$ -16 $$
   - $$ -12 $$
   - $$ -8 $$
   - $$ -1 $$
   - $$ 8 $$
   - $$ 9 $$
   - $$ 12 $$

2. **Arrange in descending order:**
   $$
   12, 9, 8, -1, -8, -12, -16
   $$

**Answer for 4:** $$ 12, 9, 8, -1, -8, -12, -16 $$.
**3.1 a:** 8 eggs **3.1 b:** 105 biscuits **3.2:** 103.125 km/h **Additional Problem:** 20 days **4:** 12, 9, 8, -1, -8, -12, -16

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