Question

four bags can hold 30kg , 54kg ,66kg and 72kg. of sugar. find the least number of sugar which can be put into exact number of small bags. Also find the number of small bags in which total amount of sugar is kept.​

Answer 1

Step-by-step explanation:

four bags can hold 30+54+66+72=222kg

least no. your is=30kg

Total amount your of small bags and sugar kept=222-30kg

=192kg is your ans........

please mark me brainliest......

Answer 2

Answer:

Therefore, the least number of bags is 6 which can hold into 30kg, 54kg, 66kg and 72kg as 5kg, 9kg, 11kg, and 12kg.

Concept:

Common factors are those that apply to two or more different integers. To put it another way, a common factor is a number that will divide a group of two or more numbers exactly.

List each of the factors of the two integers separately in order to determine the common factors between them. Now list the elements that both numbers have in common. These elements are referred to as the provided two numbers' common components.

To identify the common factors, follow the steps below.

• List the given numbers' components in writing.
• Find the element that unites them.

Given:

Weight of first bag = 30kg

Weight of second bag = 54 kg

Weight of third bag = 66 kg

Weight of fourth bag = 72 kg

Find:

We have to find the least number of small bags and total amount of sugar is kept.​

Solution:

Factors of 30 = 1, 2, 3, 5, 6, 10, 15, 30

Factors of 54 = 1, 2, 3, 6, 9, 18, 27, 54

Factors of 66 = 1, 2, 3, 6, 11, 22, 33, and 66

Factors of 72 = 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36 and 72.

Common factors of 30, 54, 66, 72 = 1, 2, 3, 6

So, HCF = 6

We can state that the bare minimum amount of sugar that will fit in just how many tiny bags is 6.

So, 6 small bags, each containing 5 kg of sugar, may hold 30 kg of sugar.

Comparably, 54 kg of sugar can be packed into 6 little bags, each of which holds 9 kg of sugar.

6 small bags, each containing 11 kg of sugar, may hold 66 kg of sugar.

6 small bags, each containing 12 kg of sugar, are made from 72 kg of sugar cane.

Hence, the least number of bags is 6 which can hold into 30kg, 54kg, 66kg and 72kg as 5kg, 9kg, 11kg, and 12kg.

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