MIP1501
Assignment 3
DUE 30 July 2025
, Question 1 (31 Marks)
1.1 Fuel Calculation
A tractor travels a distance of 90 kilometers using 18 liters of fuel. The goal is to
determine how much fuel is needed for the tractor to travel 130 kilometers, based on
its current consumption rate.
Step 1: Determine the fuel consumption per kilometer
Fuel consumption rate=18 liters90 km=0.2 liters per kilometer\text{Fuel consumption
rate} = \frac{18 \text{ liters}}{90 \text{ km}} = 0.2 \text{ liters per
kilometer}Fuel consumption rate=90 km18 liters=0.2 liters per kilometer
This means the tractor consumes 0.2 liters of fuel for every kilometer it travels.
Step 2: Calculate the fuel needed for 130 kilometers
Fuel required=130 km×0.2 liters/km=26 liters\text{Fuel required} = 130 \text{ km} \times
0.2 \text{ liters/km} = 26 \text{ liters}Fuel required=130 km×0.2 liters/km=26 liters
Final Answer: The tractor will need 26 liters of fuel to travel 130 kilometers.
Educational Note: This problem helps learners practice working with unit rates, where
one first finds the fuel used for one unit (1 km), then scales up to a new quantity. It
reinforces the concepts of division and multiplication in real-life contexts such as
agriculture and transport.
1.2 Tomato Cost Calculation
We are told that 7 kilograms of tomatoes cost R56.63, and we need to find out how
much 10 kilograms will cost at the same rate.
Step 1: Find the cost per kilogram
Assignment 3
DUE 30 July 2025
, Question 1 (31 Marks)
1.1 Fuel Calculation
A tractor travels a distance of 90 kilometers using 18 liters of fuel. The goal is to
determine how much fuel is needed for the tractor to travel 130 kilometers, based on
its current consumption rate.
Step 1: Determine the fuel consumption per kilometer
Fuel consumption rate=18 liters90 km=0.2 liters per kilometer\text{Fuel consumption
rate} = \frac{18 \text{ liters}}{90 \text{ km}} = 0.2 \text{ liters per
kilometer}Fuel consumption rate=90 km18 liters=0.2 liters per kilometer
This means the tractor consumes 0.2 liters of fuel for every kilometer it travels.
Step 2: Calculate the fuel needed for 130 kilometers
Fuel required=130 km×0.2 liters/km=26 liters\text{Fuel required} = 130 \text{ km} \times
0.2 \text{ liters/km} = 26 \text{ liters}Fuel required=130 km×0.2 liters/km=26 liters
Final Answer: The tractor will need 26 liters of fuel to travel 130 kilometers.
Educational Note: This problem helps learners practice working with unit rates, where
one first finds the fuel used for one unit (1 km), then scales up to a new quantity. It
reinforces the concepts of division and multiplication in real-life contexts such as
agriculture and transport.
1.2 Tomato Cost Calculation
We are told that 7 kilograms of tomatoes cost R56.63, and we need to find out how
much 10 kilograms will cost at the same rate.
Step 1: Find the cost per kilogram
