Jannat has 24 green beads and 30 orange beads. If the number of beads of the same colour in each bag must be equal, then what is the maximum number of bags that can be packed?
(3 marks)

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Solution

To find the maximum number of bags Jannat can pack, we need to find the highest common factor (HCF) of the given numbers.

Factors of 24 are:

(1 mark)

Factors of 30 are:

(1 mark)

We can observe that 6 is the highest common factor.

∴ The HCF of 24 and 30 is 6. (0.5 mark)

Hence, she can pack at most 6 bags, each containing 4 green beads and 5 orange beads. (0.5 mark)

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Jannat has 24 green beads and 30 orange beads. If the number of beads of the same colour in each bag must be equal, then what is the maximum number of bags that can be packed? (3 marks)

Jannat has 24 green beads and 30 orange beads. If the number of beads of the same colour in each bag must be equal, then what is the maximum number of bags that can be packed?
(3 marks)