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**Investigation**

4. A student obtained [tex]\(\frac{22}{30}\)[/tex] on a Mathematical Literacy test and [tex]\(\frac{18}{25}\)[/tex] on a Geography test. In which subject did the student score the highest?

**Andrew's Driving and Fuel Consumption:**

4.3.1 Write down the fuel consumption rate of Andrew's car in km per liter.

4.3.2 How many liters of petrol will Andrew's car use to travel 285 km? Round off your answer to one decimal place.

4.3.3 If Andrew sets out on a trip with 28 liters of petrol in his car, how far will he be able to travel before he has to stop for petrol?

**TOTAL: 50**

Answer :

Let's solve the problems step-by-step:

### Nonits' Test Scores:

1. Mathematical Literacy Test:
- Nonits scored [tex]\(\frac{22}{30}\)[/tex].
- To find the percentage, divide 22 by 30 and multiply by 100:
[tex]\[
\frac{22}{30} \times 100 \approx 73.33\%
\][/tex]

2. Geography Test:
- Nonits scored [tex]\(\frac{18}{25}\)[/tex].
- To find the percentage, divide 18 by 25 and multiply by 100:
[tex]\[
\frac{18}{25} \times 100 = 72\%
\][/tex]

Conclusion: Nonits scored higher in the Mathematical Literacy test with approximately 73.33%, compared to 72% in the Geography test.

### Andrew's Fuel Consumption:

1. Fuel Consumption Rate (km per litre):
- Andrew can travel 518 km on a full tank of 70 litres.
- The fuel consumption rate is calculated as:
[tex]\[
\frac{518 \, \text{km}}{70 \, \text{litres}} = 7.4 \, \text{km per litre}
\][/tex]

2. Litres used to travel 285 km:
- Knowing the fuel consumption rate, we can calculate the litres needed to travel 285 km:
[tex]\[
\frac{285 \, \text{km}}{7.4 \, \text{km per litre}} \approx 38.5 \, \text{litres}
\][/tex]
(rounded to one decimal place)

3. Distance Andrew can travel with 28 litres:
- Using 28 litres, calculate the distance he can travel:
[tex]\[
28 \, \text{litres} \times 7.4 \, \text{km per litre} = 207.2 \, \text{km}
\][/tex]

Andrew's car has a fuel consumption of 7.4 km per litre, uses about 38.5 litres to travel 285 km, and can travel 207.2 km with 28 litres of petrol.

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Rewritten by : Barada