Maths Two tankers contain 850 litres and 680 litres of kerosene oil re...
Maximum capacity of the container:
To find the maximum capacity of a container which can measure the kerosene oil of both the tankers when used an exact number of times, we need to find the common factor of the capacities of both the tankers.
The capacity of the first tanker is 850 litres, and the capacity of the second tanker is 680 litres.
Step 1:
We can find the factors of each tanker's capacity to find the common factor.
Factors of 850: 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
Factors of 680: 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
Step 2:
From the list of factors, we can see that the common factors of both 850 and 680 are 1, 2, 5, 10, 17, and 85.
Step 3:
To find the maximum capacity of the container, we need to find the highest common factor.
From the list of common factors, the highest common factor is 85.
Therefore, the maximum capacity of the container is 85 litres.
Number of times the first tanker can be filled up:
To find the number of times the first tanker can be filled up using the container with a maximum capacity of 85 litres, we need to divide the capacity of the first tanker by the maximum capacity of the container.
Capacity of the first tanker = 850 litres
Maximum capacity of the container = 85 litres
Step 1:
Divide the capacity of the first tanker by the maximum capacity of the container:
850 litres ÷ 85 litres = 10
Step 2:
Therefore, the first tanker can be filled up 10 times using the container with a maximum capacity of 85 litres.
Explanation:
To find the maximum capacity of the container, we need to find the common factor of the capacities of both the tankers. By listing out the factors of each tanker's capacity, we can find the common factors and determine the highest common factor as the maximum capacity of the container. Then, to find the number of times the first tanker can be filled up using the container with the maximum capacity, we divide the capacity of the first tanker by the maximum capacity of the container.