There are 20 kg of jowar and 50 kg of wheat in a shop. All the grain is to be packed in bags. If all the bags are to have equal weights of grain, what is the maximum weight of grain that can be filled in each bag ? *
Answers
The weight of the grain in each bag must be a factor of 20 and 50.
Maximum possible weight must be filled in each bag.
First find HCF of 20 and 50.
Factors of each number:
20:- 1, 2, 4, 5, 10, 20
50:- 1, 2, 5, 10, 25, 50
Common factors :-
1, 2, 5, 10
From common factors of 20 and 50, the 10 is the highest number.
So, 10 is the HCF of 20 and 50.
Therefore, a maximum of 10 kg of grain can be filled in each bag.
Given : There are 20 kg of jowar and 50 kg of wheat in a shop.
All the grain is to be packed in bags.
All the bags are to have equal weights of grain,
To Find : the maximum weight of grain that can be filled in each bag
Solution:
Jowar = 20 kg
Wheat = 50 kg
To find maximum weight of grain that can be filled in each bag need to find
HCF of 20 and 50
HCF Highest common factor of given numbers is the largest factors which divides all the given numbers perfectly.
HCF = product of common factors of least power
20 = 2 * 2 * 5
50 = 2 * 5 * 5
HCF = 2 * 5 = 10
Hence maximum weight of grain that can be filled in each bag is 10 kg
Learn More:
find the hcf of 75 and 243 using Euclid division algorithm express in ...
brainly.in/question/9266837
find the hcf of 96 and 336 and express it as a linear combination of ...
brainly.in/question/10749751
Find the HCF of 506 and 1155 as a linear combination of them ...
brainly.in/question/9246629