Question

Jagat has a jar of different coloured marbles. He is using them to make packs of marbles such that each pack has 12 red, 15 blue and 9 green marbles. After making packs, there are no marbles left in the jar. What is the least possible number of marbles that could be in the jar at the beginning?

2 points

12

180

360

3

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Answer 1

Question ⤵️

Jagat has a jar of different coloured marbles. He is using them to make packs of marbles such that each pack has 12 red, 15 blue and 9 green marbles. After making packs, there are no marbles left in the jar. What is the least possible number of marbles that could be in the jar at the beginning?

Answer ⤵️

Answer 2

Answer:

The least possible number of marbles that could be in the jar at the beginning is 180.

Step-by-step explanation:

Given: Jagat has a jar of coloured marbles. It is to be packed each as 12 red,15 blue and 9 green marbles.

To find: The least possible number of marbles that could be in the jar at the beginning.

Solution: We need to take the LCM of the three marbles.

LCMis the least common multiples.

Using Prime Factorisation method , LCM is the product of all prime factors with the highest degree.

After prime factorisation we get

9= 3×3,    

12= 3×2×2

15= 3×5

LCM(12,15,9) = 2×2×3×3×5=180.

Therefore the least possible number of marbles that could be in the jar at the beginning is 180 .

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